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Finding the Fourth Proportional to 587.44, 878.46 and 578.80

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Solution

The fourth proportional to 587.44, 878.46 and 578.80 is: 865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.44 : 878.46 = 578.80 : x
  2. Step 2: Convert to fraction form
    587.44/878.46 = 578.80/x
  3. Step 3: Cross multiply
    587.44x = 878.46 × 578.80
  4. Step 4: Simplify right side
    587.44x = 508,452.65
  5. Step 5: Solve for x
    x = 508,452.65/587.44
  6. Step 6: Final answer
    x = 865.54

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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.