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Finding the Fourth Proportional to 624.83, 862.20 and 362.84

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Solution

The fourth proportional to 624.83, 862.20 and 362.84 is: 500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.83 : 862.20 = 362.84 : x
  2. Step 2: Convert to fraction form
    624.83/862.20 = 362.84/x
  3. Step 3: Cross multiply
    624.83x = 862.20 × 362.84
  4. Step 4: Simplify right side
    624.83x = 312,836.34
  5. Step 5: Solve for x
    x = 312,836.34/624.83
  6. Step 6: Final answer
    x = 500.68

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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.