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Finding the Fourth Proportional to 624.68, 862.35 and 362.65

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Solution

The fourth proportional to 624.68, 862.35 and 362.65 is: 500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.68 : 862.35 = 362.65 : x
  2. Step 2: Convert to fraction form
    624.68/862.35 = 362.65/x
  3. Step 3: Cross multiply
    624.68x = 862.35 × 362.65
  4. Step 4: Simplify right side
    624.68x = 312,731.23
  5. Step 5: Solve for x
    x = 312,731.23/624.68
  6. Step 6: Final answer
    x = 500.63

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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.