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Finding the Fourth Proportional to 587.28, 880.24 and 327.22

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Solution

The fourth proportional to 587.28, 880.24 and 327.22 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.28 : 880.24 = 327.22 : x
  2. Step 2: Convert to fraction form
    587.28/880.24 = 327.22/x
  3. Step 3: Cross multiply
    587.28x = 880.24 × 327.22
  4. Step 4: Simplify right side
    587.28x = 288,032.13
  5. Step 5: Solve for x
    x = 288,032.13/587.28
  6. Step 6: Final answer
    x = 490.45

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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.