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Finding the Fourth Proportional to 618.64, 928.96 and 472.44

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Solution

The fourth proportional to 618.64, 928.96 and 472.44 is: 709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.64 : 928.96 = 472.44 : x
  2. Step 2: Convert to fraction form
    618.64/928.96 = 472.44/x
  3. Step 3: Cross multiply
    618.64x = 928.96 × 472.44
  4. Step 4: Simplify right side
    618.64x = 438,877.86
  5. Step 5: Solve for x
    x = 438,877.86/618.64
  6. Step 6: Final answer
    x = 709.42

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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.