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Finding the Fourth Proportional to 316.80, 475.54 and 229.76

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Solution

The fourth proportional to 316.80, 475.54 and 229.76 is: 344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.80 : 475.54 = 229.76 : x
  2. Step 2: Convert to fraction form
    316.80/475.54 = 229.76/x
  3. Step 3: Cross multiply
    316.80x = 475.54 × 229.76
  4. Step 4: Simplify right side
    316.80x = 109,260.07
  5. Step 5: Solve for x
    x = 109,260.07/316.80
  6. Step 6: Final answer
    x = 344.89

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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.