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Finding the Fourth Proportional to 487.54, 729.63 and 447.58

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Solution

The fourth proportional to 487.54, 729.63 and 447.58 is: 669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.54 : 729.63 = 447.58 : x
  2. Step 2: Convert to fraction form
    487.54/729.63 = 447.58/x
  3. Step 3: Cross multiply
    487.54x = 729.63 × 447.58
  4. Step 4: Simplify right side
    487.54x = 326,567.80
  5. Step 5: Solve for x
    x = 326,567.80/487.54
  6. Step 6: Final answer
    x = 669.83

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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.