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Finding the Fourth Proportional to 578.04, 865.50 and 392.56

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Solution

The fourth proportional to 578.04, 865.50 and 392.56 is: 587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 865.50 = 392.56 : x
  2. Step 2: Convert to fraction form
    578.04/865.50 = 392.56/x
  3. Step 3: Cross multiply
    578.04x = 865.50 × 392.56
  4. Step 4: Simplify right side
    578.04x = 339,760.68
  5. Step 5: Solve for x
    x = 339,760.68/578.04
  6. Step 6: Final answer
    x = 587.78

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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.