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Finding the Fourth Proportional to 624.19, 861.47 and 362.21

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Solution

The fourth proportional to 624.19, 861.47 and 362.21 is: 499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.19 : 861.47 = 362.21 : x
  2. Step 2: Convert to fraction form
    624.19/861.47 = 362.21/x
  3. Step 3: Cross multiply
    624.19x = 861.47 × 362.21
  4. Step 4: Simplify right side
    624.19x = 312,028.29
  5. Step 5: Solve for x
    x = 312,028.29/624.19
  6. Step 6: Final answer
    x = 499.89

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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.