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Finding the Fourth Proportional to 476.20, 714.31 and 151.79

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Solution

The fourth proportional to 476.20, 714.31 and 151.79 is: 227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.20 : 714.31 = 151.79 : x
  2. Step 2: Convert to fraction form
    476.20/714.31 = 151.79/x
  3. Step 3: Cross multiply
    476.20x = 714.31 × 151.79
  4. Step 4: Simplify right side
    476.20x = 108,425.11
  5. Step 5: Solve for x
    x = 108,425.11/476.20
  6. Step 6: Final answer
    x = 227.69

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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.