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Finding the Fourth Proportional to 624.40, 861.76 and 362.36

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Solution

The fourth proportional to 624.40, 861.76 and 362.36 is: 500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.40 : 861.76 = 362.36 : x
  2. Step 2: Convert to fraction form
    624.40/861.76 = 362.36/x
  3. Step 3: Cross multiply
    624.40x = 861.76 × 362.36
  4. Step 4: Simplify right side
    624.40x = 312,267.35
  5. Step 5: Solve for x
    x = 312,267.35/624.40
  6. Step 6: Final answer
    x = 500.11

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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.