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Finding the Fourth Proportional to 578.48, 865.28 and 521.68

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Solution

The fourth proportional to 578.48, 865.28 and 521.68 is: 780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.48 : 865.28 = 521.68 : x
  2. Step 2: Convert to fraction form
    578.48/865.28 = 521.68/x
  3. Step 3: Cross multiply
    578.48x = 865.28 × 521.68
  4. Step 4: Simplify right side
    578.48x = 451,399.27
  5. Step 5: Solve for x
    x = 451,399.27/578.48
  6. Step 6: Final answer
    x = 780.32

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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.