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Finding the Fourth Proportional to 538.17, 742.65 and 317.15

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Solution

The fourth proportional to 538.17, 742.65 and 317.15 is: 437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.17 : 742.65 = 317.15 : x
  2. Step 2: Convert to fraction form
    538.17/742.65 = 317.15/x
  3. Step 3: Cross multiply
    538.17x = 742.65 × 317.15
  4. Step 4: Simplify right side
    538.17x = 235,527.73
  5. Step 5: Solve for x
    x = 235,527.73/538.17
  6. Step 6: Final answer
    x = 437.65

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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.