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Finding the Fourth Proportional to 476.10, 714.06 and 232.47

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Solution

The fourth proportional to 476.10, 714.06 and 232.47 is: 348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.10 : 714.06 = 232.47 : x
  2. Step 2: Convert to fraction form
    476.10/714.06 = 232.47/x
  3. Step 3: Cross multiply
    476.10x = 714.06 × 232.47
  4. Step 4: Simplify right side
    476.10x = 165,997.53
  5. Step 5: Solve for x
    x = 165,997.53/476.10
  6. Step 6: Final answer
    x = 348.66

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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.