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Finding the Fourth Proportional to 532.16, 734.46 and 308.07

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Solution

The fourth proportional to 532.16, 734.46 and 308.07 is: 425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.16 : 734.46 = 308.07 : x
  2. Step 2: Convert to fraction form
    532.16/734.46 = 308.07/x
  3. Step 3: Cross multiply
    532.16x = 734.46 × 308.07
  4. Step 4: Simplify right side
    532.16x = 226,265.09
  5. Step 5: Solve for x
    x = 226,265.09/532.16
  6. Step 6: Final answer
    x = 425.19

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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.