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Finding the Fourth Proportional to 564.30, 778.52 and 343.16

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Solution

The fourth proportional to 564.30, 778.52 and 343.16 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.30 : 778.52 = 343.16 : x
  2. Step 2: Convert to fraction form
    564.30/778.52 = 343.16/x
  3. Step 3: Cross multiply
    564.30x = 778.52 × 343.16
  4. Step 4: Simplify right side
    564.30x = 267,156.92
  5. Step 5: Solve for x
    x = 267,156.92/564.30
  6. Step 6: Final answer
    x = 473.43

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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.