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Finding the Fourth Proportional to 521.67, 782.21 and 247.77

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Solution

The fourth proportional to 521.67, 782.21 and 247.77 is: 371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.67 : 782.21 = 247.77 : x
  2. Step 2: Convert to fraction form
    521.67/782.21 = 247.77/x
  3. Step 3: Cross multiply
    521.67x = 782.21 × 247.77
  4. Step 4: Simplify right side
    521.67x = 193,806.93
  5. Step 5: Solve for x
    x = 193,806.93/521.67
  6. Step 6: Final answer
    x = 371.51

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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.