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Finding the Fourth Proportional to 316.32, 474.57 and 229.74

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Solution

The fourth proportional to 316.32, 474.57 and 229.74 is: 344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.32 : 474.57 = 229.74 : x
  2. Step 2: Convert to fraction form
    316.32/474.57 = 229.74/x
  3. Step 3: Cross multiply
    316.32x = 474.57 × 229.74
  4. Step 4: Simplify right side
    316.32x = 109,027.71
  5. Step 5: Solve for x
    x = 109,027.71/316.32
  6. Step 6: Final answer
    x = 344.68

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Why These Related Problems?

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