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Finding the Fourth Proportional to 626.16, 864.34 and 560.54

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Solution

The fourth proportional to 626.16, 864.34 and 560.54 is: 773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.16 : 864.34 = 560.54 : x
  2. Step 2: Convert to fraction form
    626.16/864.34 = 560.54/x
  3. Step 3: Cross multiply
    626.16x = 864.34 × 560.54
  4. Step 4: Simplify right side
    626.16x = 484,497.14
  5. Step 5: Solve for x
    x = 484,497.14/626.16
  6. Step 6: Final answer
    x = 773.76

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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.