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Finding the Fourth Proportional to 584.32, 875.20 and 447.04

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Solution

The fourth proportional to 584.32, 875.20 and 447.04 is: 669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.32 : 875.20 = 447.04 : x
  2. Step 2: Convert to fraction form
    584.32/875.20 = 447.04/x
  3. Step 3: Cross multiply
    584.32x = 875.20 × 447.04
  4. Step 4: Simplify right side
    584.32x = 391,249.41
  5. Step 5: Solve for x
    x = 391,249.41/584.32
  6. Step 6: Final answer
    x = 669.58

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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.