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Finding the Fourth Proportional to 624.85, 862.18 and 362.81

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Solution

The fourth proportional to 624.85, 862.18 and 362.81 is: 500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.85 : 862.18 = 362.81 : x
  2. Step 2: Convert to fraction form
    624.85/862.18 = 362.81/x
  3. Step 3: Cross multiply
    624.85x = 862.18 × 362.81
  4. Step 4: Simplify right side
    624.85x = 312,808.77
  5. Step 5: Solve for x
    x = 312,808.77/624.85
  6. Step 6: Final answer
    x = 500.62

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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.