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Finding the Fourth Proportional to 624.96, 862.43 and 363.02

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Solution

The fourth proportional to 624.96, 862.43 and 363.02 is: 500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 862.43 = 363.02 : x
  2. Step 2: Convert to fraction form
    624.96/862.43 = 363.02/x
  3. Step 3: Cross multiply
    624.96x = 862.43 × 363.02
  4. Step 4: Simplify right side
    624.96x = 313,073.21
  5. Step 5: Solve for x
    x = 313,073.21/624.96
  6. Step 6: Final answer
    x = 500.95

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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.