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Finding the Fourth Proportional to 316.10, 473.24 and 239.37

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Solution

The fourth proportional to 316.10, 473.24 and 239.37 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.10 : 473.24 = 239.37 : x
  2. Step 2: Convert to fraction form
    316.10/473.24 = 239.37/x
  3. Step 3: Cross multiply
    316.10x = 473.24 × 239.37
  4. Step 4: Simplify right side
    316.10x = 113,279.46
  5. Step 5: Solve for x
    x = 113,279.46/316.10
  6. Step 6: Final answer
    x = 358.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.