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Finding the Fourth Proportional to 521.40, 781.77 and 277.86

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Solution

The fourth proportional to 521.40, 781.77 and 277.86 is: 416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.40 : 781.77 = 277.86 : x
  2. Step 2: Convert to fraction form
    521.40/781.77 = 277.86/x
  3. Step 3: Cross multiply
    521.40x = 781.77 × 277.86
  4. Step 4: Simplify right side
    521.40x = 217,222.61
  5. Step 5: Solve for x
    x = 217,222.61/521.40
  6. Step 6: Final answer
    x = 416.61

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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.