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Finding the Fourth Proportional to 951.49, 1,427.77 and 403.61

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Solution

The fourth proportional to 951.49, 1,427.77 and 403.61 is: 605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.49 : 1,427.77 = 403.61 : x
  2. Step 2: Convert to fraction form
    951.49/1,427.77 = 403.61/x
  3. Step 3: Cross multiply
    951.49x = 1,427.77 × 403.61
  4. Step 4: Simplify right side
    951.49x = 576,262.25
  5. Step 5: Solve for x
    x = 576,262.25/951.49
  6. Step 6: Final answer
    x = 605.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.