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Finding the Fourth Proportional to 625.42, 861.94 and 415.23

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Solution

The fourth proportional to 625.42, 861.94 and 415.23 is: 572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.42 : 861.94 = 415.23 : x
  2. Step 2: Convert to fraction form
    625.42/861.94 = 415.23/x
  3. Step 3: Cross multiply
    625.42x = 861.94 × 415.23
  4. Step 4: Simplify right side
    625.42x = 357,898.00
  5. Step 5: Solve for x
    x = 357,898.00/625.42
  6. Step 6: Final answer
    x = 572.25

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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.