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Finding the Fourth Proportional to 689.84, 951.96 and 395.10

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Solution

The fourth proportional to 689.84, 951.96 and 395.10 is: 545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.84 : 951.96 = 395.10 : x
  2. Step 2: Convert to fraction form
    689.84/951.96 = 395.10/x
  3. Step 3: Cross multiply
    689.84x = 951.96 × 395.10
  4. Step 4: Simplify right side
    689.84x = 376,112.66
  5. Step 5: Solve for x
    x = 376,112.66/689.84
  6. Step 6: Final answer
    x = 545.22

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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.