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Finding the Fourth Proportional to 521.51, 781.21 and 247.86

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Solution

The fourth proportional to 521.51, 781.21 and 247.86 is: 371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.51 : 781.21 = 247.86 : x
  2. Step 2: Convert to fraction form
    521.51/781.21 = 247.86/x
  3. Step 3: Cross multiply
    521.51x = 781.21 × 247.86
  4. Step 4: Simplify right side
    521.51x = 193,631.02
  5. Step 5: Solve for x
    x = 193,631.02/521.51
  6. Step 6: Final answer
    x = 371.29

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