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Finding the Fourth Proportional to 624.39, 861.26 and 428.01

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Solution

The fourth proportional to 624.39, 861.26 and 428.01 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.39 : 861.26 = 428.01 : x
  2. Step 2: Convert to fraction form
    624.39/861.26 = 428.01/x
  3. Step 3: Cross multiply
    624.39x = 861.26 × 428.01
  4. Step 4: Simplify right side
    624.39x = 368,625.75
  5. Step 5: Solve for x
    x = 368,625.75/624.39
  6. Step 6: Final answer
    x = 590.38

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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.