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Finding the Fourth Proportional to 521.51, 782.33 and 247.82

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Solution

The fourth proportional to 521.51, 782.33 and 247.82 is: 371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.51 : 782.33 = 247.82 : x
  2. Step 2: Convert to fraction form
    521.51/782.33 = 247.82/x
  3. Step 3: Cross multiply
    521.51x = 782.33 × 247.82
  4. Step 4: Simplify right side
    521.51x = 193,871.87
  5. Step 5: Solve for x
    x = 193,871.87/521.51
  6. Step 6: Final answer
    x = 371.75

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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.