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Finding the Fourth Proportional to 522.06, 781.98 and 261.27

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Solution

The fourth proportional to 522.06, 781.98 and 261.27 is: 391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.06 : 781.98 = 261.27 : x
  2. Step 2: Convert to fraction form
    522.06/781.98 = 261.27/x
  3. Step 3: Cross multiply
    522.06x = 781.98 × 261.27
  4. Step 4: Simplify right side
    522.06x = 204,307.91
  5. Step 5: Solve for x
    x = 204,307.91/522.06
  6. Step 6: Final answer
    x = 391.35

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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.