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Finding the Fourth Proportional to 582.24, 871.92 and 444.72

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Solution

The fourth proportional to 582.24, 871.92 and 444.72 is: 665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 871.92 = 444.72 : x
  2. Step 2: Convert to fraction form
    582.24/871.92 = 444.72/x
  3. Step 3: Cross multiply
    582.24x = 871.92 × 444.72
  4. Step 4: Simplify right side
    582.24x = 387,760.26
  5. Step 5: Solve for x
    x = 387,760.26/582.24
  6. Step 6: Final answer
    x = 665.98

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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.