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Finding the Fourth Proportional to 564.25, 778.08 and 343.12

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Solution

The fourth proportional to 564.25, 778.08 and 343.12 is: 473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 778.08 = 343.12 : x
  2. Step 2: Convert to fraction form
    564.25/778.08 = 343.12/x
  3. Step 3: Cross multiply
    564.25x = 778.08 × 343.12
  4. Step 4: Simplify right side
    564.25x = 266,974.81
  5. Step 5: Solve for x
    x = 266,974.81/564.25
  6. Step 6: Final answer
    x = 473.15

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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.