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Finding the Fourth Proportional to 617.97, 926.49 and 206.86

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Solution

The fourth proportional to 617.97, 926.49 and 206.86 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.97 : 926.49 = 206.86 : x
  2. Step 2: Convert to fraction form
    617.97/926.49 = 206.86/x
  3. Step 3: Cross multiply
    617.97x = 926.49 × 206.86
  4. Step 4: Simplify right side
    617.97x = 191,653.72
  5. Step 5: Solve for x
    x = 191,653.72/617.97
  6. Step 6: Final answer
    x = 310.13

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.