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Finding the Fourth Proportional to 317.40, 437.82 and 229.92

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Solution

The fourth proportional to 317.40, 437.82 and 229.92 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 437.82 = 229.92 : x
  2. Step 2: Convert to fraction form
    317.40/437.82 = 229.92/x
  3. Step 3: Cross multiply
    317.40x = 437.82 × 229.92
  4. Step 4: Simplify right side
    317.40x = 100,663.57
  5. Step 5: Solve for x
    x = 100,663.57/317.40
  6. Step 6: Final answer
    x = 317.15

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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.