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Finding the Fourth Proportional to 532.32, 734.54 and 305.19

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Solution

The fourth proportional to 532.32, 734.54 and 305.19 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.32 : 734.54 = 305.19 : x
  2. Step 2: Convert to fraction form
    532.32/734.54 = 305.19/x
  3. Step 3: Cross multiply
    532.32x = 734.54 × 305.19
  4. Step 4: Simplify right side
    532.32x = 224,174.26
  5. Step 5: Solve for x
    x = 224,174.26/532.32
  6. Step 6: Final answer
    x = 421.13

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.