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Finding the Fourth Proportional to 689.15, 951.03 and 409.38

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Solution

The fourth proportional to 689.15, 951.03 and 409.38 is: 564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.15 : 951.03 = 409.38 : x
  2. Step 2: Convert to fraction form
    689.15/951.03 = 409.38/x
  3. Step 3: Cross multiply
    689.15x = 951.03 × 409.38
  4. Step 4: Simplify right side
    689.15x = 389,332.66
  5. Step 5: Solve for x
    x = 389,332.66/689.15
  6. Step 6: Final answer
    x = 564.95

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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.