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Finding the Fourth Proportional to 689.83, 951.98 and 395.19

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Solution

The fourth proportional to 689.83, 951.98 and 395.19 is: 545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 951.98 = 395.19 : x
  2. Step 2: Convert to fraction form
    689.83/951.98 = 395.19/x
  3. Step 3: Cross multiply
    689.83x = 951.98 × 395.19
  4. Step 4: Simplify right side
    689.83x = 376,211.00
  5. Step 5: Solve for x
    x = 376,211.00/689.83
  6. Step 6: Final answer
    x = 545.37

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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.