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Finding the Fourth Proportional to 625.35, 863.40 and 415.94

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Solution

The fourth proportional to 625.35, 863.40 and 415.94 is: 574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.35 : 863.40 = 415.94 : x
  2. Step 2: Convert to fraction form
    625.35/863.40 = 415.94/x
  3. Step 3: Cross multiply
    625.35x = 863.40 × 415.94
  4. Step 4: Simplify right side
    625.35x = 359,118.28
  5. Step 5: Solve for x
    x = 359,118.28/625.35
  6. Step 6: Final answer
    x = 574.27

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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.