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Finding the Fourth Proportional to 475.89, 714.30 and 232.62

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Solution

The fourth proportional to 475.89, 714.30 and 232.62 is: 349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.89 : 714.30 = 232.62 : x
  2. Step 2: Convert to fraction form
    475.89/714.30 = 232.62/x
  3. Step 3: Cross multiply
    475.89x = 714.30 × 232.62
  4. Step 4: Simplify right side
    475.89x = 166,160.47
  5. Step 5: Solve for x
    x = 166,160.47/475.89
  6. Step 6: Final answer
    x = 349.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.