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Finding the Fourth Proportional to 587.12, 880.81 and 176.27

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Solution

The fourth proportional to 587.12, 880.81 and 176.27 is: 264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.12 : 880.81 = 176.27 : x
  2. Step 2: Convert to fraction form
    587.12/880.81 = 176.27/x
  3. Step 3: Cross multiply
    587.12x = 880.81 × 176.27
  4. Step 4: Simplify right side
    587.12x = 155,255.53
  5. Step 5: Solve for x
    x = 155,255.53/587.12
  6. Step 6: Final answer
    x = 264.43

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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.