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Finding the Fourth Proportional to 624.25, 862.19 and 427.42

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Solution

The fourth proportional to 624.25, 862.19 and 427.42 is: 590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.25 : 862.19 = 427.42 : x
  2. Step 2: Convert to fraction form
    624.25/862.19 = 427.42/x
  3. Step 3: Cross multiply
    624.25x = 862.19 × 427.42
  4. Step 4: Simplify right side
    624.25x = 368,515.11
  5. Step 5: Solve for x
    x = 368,515.11/624.25
  6. Step 6: Final answer
    x = 590.33

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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.