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Finding the Fourth Proportional to 521, 781.50 and 264.50

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Solution

The fourth proportional to 521, 781.50 and 264.50 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521 : 781.50 = 264.50 : x
  2. Step 2: Convert to fraction form
    521/781.50 = 264.50/x
  3. Step 3: Cross multiply
    521x = 781.50 × 264.50
  4. Step 4: Simplify right side
    521x = 206,706.75
  5. Step 5: Solve for x
    x = 206,706.75/521
  6. Step 6: Final answer
    x = 396.75

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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.