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Finding the Fourth Proportional to 587.28, 880.08 and 443.16

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Solution

The fourth proportional to 587.28, 880.08 and 443.16 is: 664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.28 : 880.08 = 443.16 : x
  2. Step 2: Convert to fraction form
    587.28/880.08 = 443.16/x
  3. Step 3: Cross multiply
    587.28x = 880.08 × 443.16
  4. Step 4: Simplify right side
    587.28x = 390,016.25
  5. Step 5: Solve for x
    x = 390,016.25/587.28
  6. Step 6: Final answer
    x = 664.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.