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Finding the Fourth Proportional to 624.68, 862.08 and 362.72

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Solution

The fourth proportional to 624.68, 862.08 and 362.72 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.68 : 862.08 = 362.72 : x
  2. Step 2: Convert to fraction form
    624.68/862.08 = 362.72/x
  3. Step 3: Cross multiply
    624.68x = 862.08 × 362.72
  4. Step 4: Simplify right side
    624.68x = 312,693.66
  5. Step 5: Solve for x
    x = 312,693.66/624.68
  6. Step 6: Final answer
    x = 500.57

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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.