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Finding the Fourth Proportional to 473.89, 707.24 and 461.59

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Solution

The fourth proportional to 473.89, 707.24 and 461.59 is: 688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.89 : 707.24 = 461.59 : x
  2. Step 2: Convert to fraction form
    473.89/707.24 = 461.59/x
  3. Step 3: Cross multiply
    473.89x = 707.24 × 461.59
  4. Step 4: Simplify right side
    473.89x = 326,454.30
  5. Step 5: Solve for x
    x = 326,454.30/473.89
  6. Step 6: Final answer
    x = 688.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.