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Finding the Fourth Proportional to 532.42, 734.53 and 308.31

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Solution

The fourth proportional to 532.42, 734.53 and 308.31 is: 425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.42 : 734.53 = 308.31 : x
  2. Step 2: Convert to fraction form
    532.42/734.53 = 308.31/x
  3. Step 3: Cross multiply
    532.42x = 734.53 × 308.31
  4. Step 4: Simplify right side
    532.42x = 226,462.94
  5. Step 5: Solve for x
    x = 226,462.94/532.42
  6. Step 6: Final answer
    x = 425.35

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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.