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Finding the Fourth Proportional to 476.56, 714.57 and 232.78

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Solution

The fourth proportional to 476.56, 714.57 and 232.78 is: 349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.56 : 714.57 = 232.78 : x
  2. Step 2: Convert to fraction form
    476.56/714.57 = 232.78/x
  3. Step 3: Cross multiply
    476.56x = 714.57 × 232.78
  4. Step 4: Simplify right side
    476.56x = 166,337.60
  5. Step 5: Solve for x
    x = 166,337.60/476.56
  6. Step 6: Final answer
    x = 349.04

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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.