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Finding the Fourth Proportional to 624.10, 861.07 and 362.08

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Solution

The fourth proportional to 624.10, 861.07 and 362.08 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 861.07 = 362.08 : x
  2. Step 2: Convert to fraction form
    624.10/861.07 = 362.08/x
  3. Step 3: Cross multiply
    624.10x = 861.07 × 362.08
  4. Step 4: Simplify right side
    624.10x = 311,776.23
  5. Step 5: Solve for x
    x = 311,776.23/624.10
  6. Step 6: Final answer
    x = 499.56

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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.