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Finding the Fourth Proportional to 624.81, 861.93 and 541.80

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Solution

The fourth proportional to 624.81, 861.93 and 541.80 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.81 : 861.93 = 541.80 : x
  2. Step 2: Convert to fraction form
    624.81/861.93 = 541.80/x
  3. Step 3: Cross multiply
    624.81x = 861.93 × 541.80
  4. Step 4: Simplify right side
    624.81x = 466,993.67
  5. Step 5: Solve for x
    x = 466,993.67/624.81
  6. Step 6: Final answer
    x = 747.42

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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.