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Finding the Fourth Proportional to 531.66, 734.04 and 335.52

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Solution

The fourth proportional to 531.66, 734.04 and 335.52 is: 463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.66 : 734.04 = 335.52 : x
  2. Step 2: Convert to fraction form
    531.66/734.04 = 335.52/x
  3. Step 3: Cross multiply
    531.66x = 734.04 × 335.52
  4. Step 4: Simplify right side
    531.66x = 246,285.10
  5. Step 5: Solve for x
    x = 246,285.10/531.66
  6. Step 6: Final answer
    x = 463.24

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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.