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Finding the Fourth Proportional to 626.52, 863.42 and 598.17

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Solution

The fourth proportional to 626.52, 863.42 and 598.17 is: 824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.52 : 863.42 = 598.17 : x
  2. Step 2: Convert to fraction form
    626.52/863.42 = 598.17/x
  3. Step 3: Cross multiply
    626.52x = 863.42 × 598.17
  4. Step 4: Simplify right side
    626.52x = 516,468.95
  5. Step 5: Solve for x
    x = 516,468.95/626.52
  6. Step 6: Final answer
    x = 824.35

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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.