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Finding the Fourth Proportional to 476.29, 714.44 and 151.66

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Solution

The fourth proportional to 476.29, 714.44 and 151.66 is: 227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.29 : 714.44 = 151.66 : x
  2. Step 2: Convert to fraction form
    476.29/714.44 = 151.66/x
  3. Step 3: Cross multiply
    476.29x = 714.44 × 151.66
  4. Step 4: Simplify right side
    476.29x = 108,351.97
  5. Step 5: Solve for x
    x = 108,351.97/476.29
  6. Step 6: Final answer
    x = 227.49

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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.