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Finding the Fourth Proportional to 617.49, 926.52 and 206.73

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Solution

The fourth proportional to 617.49, 926.52 and 206.73 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 926.52 = 206.73 : x
  2. Step 2: Convert to fraction form
    617.49/926.52 = 206.73/x
  3. Step 3: Cross multiply
    617.49x = 926.52 × 206.73
  4. Step 4: Simplify right side
    617.49x = 191,539.48
  5. Step 5: Solve for x
    x = 191,539.48/617.49
  6. Step 6: Final answer
    x = 310.19

Related Problems

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Half scale
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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.