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Finding the Fourth Proportional to 538.17, 742.59 and 317.13

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Solution

The fourth proportional to 538.17, 742.59 and 317.13 is: 437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.17 : 742.59 = 317.13 : x
  2. Step 2: Convert to fraction form
    538.17/742.59 = 317.13/x
  3. Step 3: Cross multiply
    538.17x = 742.59 × 317.13
  4. Step 4: Simplify right side
    538.17x = 235,497.57
  5. Step 5: Solve for x
    x = 235,497.57/538.17
  6. Step 6: Final answer
    x = 437.59

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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.