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Finding the Fourth Proportional to 402.31, 602.64 and 265.42

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Solution

The fourth proportional to 402.31, 602.64 and 265.42 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.31 : 602.64 = 265.42 : x
  2. Step 2: Convert to fraction form
    402.31/602.64 = 265.42/x
  3. Step 3: Cross multiply
    402.31x = 602.64 × 265.42
  4. Step 4: Simplify right side
    402.31x = 159,952.71
  5. Step 5: Solve for x
    x = 159,952.71/402.31
  6. Step 6: Final answer
    x = 397.59

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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.