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Finding the Fourth Proportional to 538.15, 742.69 and 317.27

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Solution

The fourth proportional to 538.15, 742.69 and 317.27 is: 437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.15 : 742.69 = 317.27 : x
  2. Step 2: Convert to fraction form
    538.15/742.69 = 317.27/x
  3. Step 3: Cross multiply
    538.15x = 742.69 × 317.27
  4. Step 4: Simplify right side
    538.15x = 235,633.72
  5. Step 5: Solve for x
    x = 235,633.72/538.15
  6. Step 6: Final answer
    x = 437.86

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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.