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Finding the Fourth Proportional to 633.60, 873 and 523.44

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Solution

The fourth proportional to 633.60, 873 and 523.44 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.60 : 873 = 523.44 : x
  2. Step 2: Convert to fraction form
    633.60/873 = 523.44/x
  3. Step 3: Cross multiply
    633.60x = 873 × 523.44
  4. Step 4: Simplify right side
    633.60x = 456,963.12
  5. Step 5: Solve for x
    x = 456,963.12/633.60
  6. Step 6: Final answer
    x = 721.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.