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Finding the Fourth Proportional to 437.24, 655.14 and 314.90

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Solution

The fourth proportional to 437.24, 655.14 and 314.90 is: 471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.24 : 655.14 = 314.90 : x
  2. Step 2: Convert to fraction form
    437.24/655.14 = 314.90/x
  3. Step 3: Cross multiply
    437.24x = 655.14 × 314.90
  4. Step 4: Simplify right side
    437.24x = 206,300.31
  5. Step 5: Solve for x
    x = 206,300.31/437.24
  6. Step 6: Final answer
    x = 471.83

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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.