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Finding the Fourth Proportional to 564.14, 778.59 and 343.24

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Solution

The fourth proportional to 564.14, 778.59 and 343.24 is: 473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 778.59 = 343.24 : x
  2. Step 2: Convert to fraction form
    564.14/778.59 = 343.24/x
  3. Step 3: Cross multiply
    564.14x = 778.59 × 343.24
  4. Step 4: Simplify right side
    564.14x = 267,240.32
  5. Step 5: Solve for x
    x = 267,240.32/564.14
  6. Step 6: Final answer
    x = 473.71

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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.