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Finding the Fourth Proportional to 624.72, 862.12 and 362.72

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Solution

The fourth proportional to 624.72, 862.12 and 362.72 is: 500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.72 : 862.12 = 362.72 : x
  2. Step 2: Convert to fraction form
    624.72/862.12 = 362.72/x
  3. Step 3: Cross multiply
    624.72x = 862.12 × 362.72
  4. Step 4: Simplify right side
    624.72x = 312,708.17
  5. Step 5: Solve for x
    x = 312,708.17/624.72
  6. Step 6: Final answer
    x = 500.56

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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.