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Finding the Fourth Proportional to 402.59, 603.09 and 314.95

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Solution

The fourth proportional to 402.59, 603.09 and 314.95 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.59 : 603.09 = 314.95 : x
  2. Step 2: Convert to fraction form
    402.59/603.09 = 314.95/x
  3. Step 3: Cross multiply
    402.59x = 603.09 × 314.95
  4. Step 4: Simplify right side
    402.59x = 189,943.20
  5. Step 5: Solve for x
    x = 189,943.20/402.59
  6. Step 6: Final answer
    x = 471.80

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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.