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Finding the Fourth Proportional to 564.14, 778.56 and 417.26

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Solution

The fourth proportional to 564.14, 778.56 and 417.26 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 778.56 = 417.26 : x
  2. Step 2: Convert to fraction form
    564.14/778.56 = 417.26/x
  3. Step 3: Cross multiply
    564.14x = 778.56 × 417.26
  4. Step 4: Simplify right side
    564.14x = 324,861.95
  5. Step 5: Solve for x
    x = 324,861.95/564.14
  6. Step 6: Final answer
    x = 575.85

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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.