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Finding the Fourth Proportional to 402.14, 601.65 and 314.52

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Solution

The fourth proportional to 402.14, 601.65 and 314.52 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 601.65 = 314.52 : x
  2. Step 2: Convert to fraction form
    402.14/601.65 = 314.52/x
  3. Step 3: Cross multiply
    402.14x = 601.65 × 314.52
  4. Step 4: Simplify right side
    402.14x = 189,230.96
  5. Step 5: Solve for x
    x = 189,230.96/402.14
  6. Step 6: Final answer
    x = 470.56

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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.