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Finding the Fourth Proportional to 624.93, 862.34 and 362.90

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Solution

The fourth proportional to 624.93, 862.34 and 362.90 is: 500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.93 : 862.34 = 362.90 : x
  2. Step 2: Convert to fraction form
    624.93/862.34 = 362.90/x
  3. Step 3: Cross multiply
    624.93x = 862.34 × 362.90
  4. Step 4: Simplify right side
    624.93x = 312,937.06
  5. Step 5: Solve for x
    x = 312,937.06/624.93
  6. Step 6: Final answer
    x = 500.76

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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.