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Finding the Fourth Proportional to 689.40, 951.38 and 405.75

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Solution

The fourth proportional to 689.40, 951.38 and 405.75 is: 559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.40 : 951.38 = 405.75 : x
  2. Step 2: Convert to fraction form
    689.40/951.38 = 405.75/x
  3. Step 3: Cross multiply
    689.40x = 951.38 × 405.75
  4. Step 4: Simplify right side
    689.40x = 386,020.41
  5. Step 5: Solve for x
    x = 386,020.41/689.40
  6. Step 6: Final answer
    x = 559.94

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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.