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Finding the Fourth Proportional to 564.46, 778.80 and 398.78

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Solution

The fourth proportional to 564.46, 778.80 and 398.78 is: 550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.46 : 778.80 = 398.78 : x
  2. Step 2: Convert to fraction form
    564.46/778.80 = 398.78/x
  3. Step 3: Cross multiply
    564.46x = 778.80 × 398.78
  4. Step 4: Simplify right side
    564.46x = 310,569.86
  5. Step 5: Solve for x
    x = 310,569.86/564.46
  6. Step 6: Final answer
    x = 550.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.