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Finding the Fourth Proportional to 689.72, 951.86 and 379.24

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Solution

The fourth proportional to 689.72, 951.86 and 379.24 is: 523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.72 : 951.86 = 379.24 : x
  2. Step 2: Convert to fraction form
    689.72/951.86 = 379.24/x
  3. Step 3: Cross multiply
    689.72x = 951.86 × 379.24
  4. Step 4: Simplify right side
    689.72x = 360,983.39
  5. Step 5: Solve for x
    x = 360,983.39/689.72
  6. Step 6: Final answer
    x = 523.38

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Half scale
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Double scale
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1.5x scale

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.