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Finding the Fourth Proportional to 652.44, 899.20 and 477.48

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Solution

The fourth proportional to 652.44, 899.20 and 477.48 is: 658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 899.20 = 477.48 : x
  2. Step 2: Convert to fraction form
    652.44/899.20 = 477.48/x
  3. Step 3: Cross multiply
    652.44x = 899.20 × 477.48
  4. Step 4: Simplify right side
    652.44x = 429,350.02
  5. Step 5: Solve for x
    x = 429,350.02/652.44
  6. Step 6: Final answer
    x = 658.07

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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.