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Finding the Fourth Proportional to 564.66, 773.39 and 531.45

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Solution

The fourth proportional to 564.66, 773.39 and 531.45 is: 727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 773.39 = 531.45 : x
  2. Step 2: Convert to fraction form
    564.66/773.39 = 531.45/x
  3. Step 3: Cross multiply
    564.66x = 773.39 × 531.45
  4. Step 4: Simplify right side
    564.66x = 411,019.44
  5. Step 5: Solve for x
    x = 411,019.44/564.66
  6. Step 6: Final answer
    x = 727.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.