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Finding the Fourth Proportional to 532.33, 734.61 and 305.17

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Solution

The fourth proportional to 532.33, 734.61 and 305.17 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.33 : 734.61 = 305.17 : x
  2. Step 2: Convert to fraction form
    532.33/734.61 = 305.17/x
  3. Step 3: Cross multiply
    532.33x = 734.61 × 305.17
  4. Step 4: Simplify right side
    532.33x = 224,180.93
  5. Step 5: Solve for x
    x = 224,180.93/532.33
  6. Step 6: Final answer
    x = 421.13

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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.