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Finding the Fourth Proportional to 583.21, 874.19 and 193.11

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Solution

The fourth proportional to 583.21, 874.19 and 193.11 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.21 : 874.19 = 193.11 : x
  2. Step 2: Convert to fraction form
    583.21/874.19 = 193.11/x
  3. Step 3: Cross multiply
    583.21x = 874.19 × 193.11
  4. Step 4: Simplify right side
    583.21x = 168,812.04
  5. Step 5: Solve for x
    x = 168,812.04/583.21
  6. Step 6: Final answer
    x = 289.45

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.