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Finding the Fourth Proportional to 564.10, 778.51 and 343.07

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Solution

The fourth proportional to 564.10, 778.51 and 343.07 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.10 : 778.51 = 343.07 : x
  2. Step 2: Convert to fraction form
    564.10/778.51 = 343.07/x
  3. Step 3: Cross multiply
    564.10x = 778.51 × 343.07
  4. Step 4: Simplify right side
    564.10x = 267,082.88
  5. Step 5: Solve for x
    x = 267,082.88/564.10
  6. Step 6: Final answer
    x = 473.47

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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.