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Finding the Fourth Proportional to 625.01, 862.12 and 465.35

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Solution

The fourth proportional to 625.01, 862.12 and 465.35 is: 641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.01 : 862.12 = 465.35 : x
  2. Step 2: Convert to fraction form
    625.01/862.12 = 465.35/x
  3. Step 3: Cross multiply
    625.01x = 862.12 × 465.35
  4. Step 4: Simplify right side
    625.01x = 401,187.54
  5. Step 5: Solve for x
    x = 401,187.54/625.01
  6. Step 6: Final answer
    x = 641.89

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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.