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Finding the Fourth Proportional to 624.22, 861.75 and 484.02

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Solution

The fourth proportional to 624.22, 861.75 and 484.02 is: 668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.22 : 861.75 = 484.02 : x
  2. Step 2: Convert to fraction form
    624.22/861.75 = 484.02/x
  3. Step 3: Cross multiply
    624.22x = 861.75 × 484.02
  4. Step 4: Simplify right side
    624.22x = 417,100.87
  5. Step 5: Solve for x
    x = 417,100.87/624.22
  6. Step 6: Final answer
    x = 668.20

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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.