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Finding the Fourth Proportional to 517.39, 713.44 and 509.73

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Solution

The fourth proportional to 517.39, 713.44 and 509.73 is: 702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 713.44 = 509.73 : x
  2. Step 2: Convert to fraction form
    517.39/713.44 = 509.73/x
  3. Step 3: Cross multiply
    517.39x = 713.44 × 509.73
  4. Step 4: Simplify right side
    517.39x = 363,659.73
  5. Step 5: Solve for x
    x = 363,659.73/517.39
  6. Step 6: Final answer
    x = 702.88

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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.