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Finding the Fourth Proportional to 316.76, 437.14 and 229.56

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Solution

The fourth proportional to 316.76, 437.14 and 229.56 is: 316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.76 : 437.14 = 229.56 : x
  2. Step 2: Convert to fraction form
    316.76/437.14 = 229.56/x
  3. Step 3: Cross multiply
    316.76x = 437.14 × 229.56
  4. Step 4: Simplify right side
    316.76x = 100,349.86
  5. Step 5: Solve for x
    x = 100,349.86/316.76
  6. Step 6: Final answer
    x = 316.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.