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Finding the Fourth Proportional to 883.20, 1,323.96 and 444.16

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Solution

The fourth proportional to 883.20, 1,323.96 and 444.16 is: 665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.20 : 1,323.96 = 444.16 : x
  2. Step 2: Convert to fraction form
    883.20/1,323.96 = 444.16/x
  3. Step 3: Cross multiply
    883.20x = 1,323.96 × 444.16
  4. Step 4: Simplify right side
    883.20x = 588,050.07
  5. Step 5: Solve for x
    x = 588,050.07/883.20
  6. Step 6: Final answer
    x = 665.82

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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.