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Finding the Fourth Proportional to 564.48, 778.72 and 343.36

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Solution

The fourth proportional to 564.48, 778.72 and 343.36 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 778.72 = 343.36 : x
  2. Step 2: Convert to fraction form
    564.48/778.72 = 343.36/x
  3. Step 3: Cross multiply
    564.48x = 778.72 × 343.36
  4. Step 4: Simplify right side
    564.48x = 267,381.30
  5. Step 5: Solve for x
    x = 267,381.30/564.48
  6. Step 6: Final answer
    x = 473.68

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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.