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Finding the Fourth Proportional to 538.37, 742.65 and 317.29

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Solution

The fourth proportional to 538.37, 742.65 and 317.29 is: 437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.37 : 742.65 = 317.29 : x
  2. Step 2: Convert to fraction form
    538.37/742.65 = 317.29/x
  3. Step 3: Cross multiply
    538.37x = 742.65 × 317.29
  4. Step 4: Simplify right side
    538.37x = 235,635.42
  5. Step 5: Solve for x
    x = 235,635.42/538.37
  6. Step 6: Final answer
    x = 437.68

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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.