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Finding the Fourth Proportional to 624.76, 862.16 and 362.80

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Solution

The fourth proportional to 624.76, 862.16 and 362.80 is: 500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.76 : 862.16 = 362.80 : x
  2. Step 2: Convert to fraction form
    624.76/862.16 = 362.80/x
  3. Step 3: Cross multiply
    624.76x = 862.16 × 362.80
  4. Step 4: Simplify right side
    624.76x = 312,791.65
  5. Step 5: Solve for x
    x = 312,791.65/624.76
  6. Step 6: Final answer
    x = 500.66

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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.