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Finding the Fourth Proportional to 316.74, 437.49 and 229.26

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Solution

The fourth proportional to 316.74, 437.49 and 229.26 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 437.49 = 229.26 : x
  2. Step 2: Convert to fraction form
    316.74/437.49 = 229.26/x
  3. Step 3: Cross multiply
    316.74x = 437.49 × 229.26
  4. Step 4: Simplify right side
    316.74x = 100,298.96
  5. Step 5: Solve for x
    x = 100,298.96/316.74
  6. Step 6: Final answer
    x = 316.66

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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.