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Finding the Fourth Proportional to 689.65, 951.70 and 374.92

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Solution

The fourth proportional to 689.65, 951.70 and 374.92 is: 517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.65 : 951.70 = 374.92 : x
  2. Step 2: Convert to fraction form
    689.65/951.70 = 374.92/x
  3. Step 3: Cross multiply
    689.65x = 951.70 × 374.92
  4. Step 4: Simplify right side
    689.65x = 356,809.45
  5. Step 5: Solve for x
    x = 356,809.45/689.65
  6. Step 6: Final answer
    x = 517.38

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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.