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Finding the Fourth Proportional to 564.32, 778.76 and 343.23

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Solution

The fourth proportional to 564.32, 778.76 and 343.23 is: 473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.32 : 778.76 = 343.23 : x
  2. Step 2: Convert to fraction form
    564.32/778.76 = 343.23/x
  3. Step 3: Cross multiply
    564.32x = 778.76 × 343.23
  4. Step 4: Simplify right side
    564.32x = 267,288.18
  5. Step 5: Solve for x
    x = 267,288.18/564.32
  6. Step 6: Final answer
    x = 473.65

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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.