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Finding the Fourth Proportional to 521.35, 781.41 and 277.74

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Solution

The fourth proportional to 521.35, 781.41 and 277.74 is: 416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.35 : 781.41 = 277.74 : x
  2. Step 2: Convert to fraction form
    521.35/781.41 = 277.74/x
  3. Step 3: Cross multiply
    521.35x = 781.41 × 277.74
  4. Step 4: Simplify right side
    521.35x = 217,028.81
  5. Step 5: Solve for x
    x = 217,028.81/521.35
  6. Step 6: Final answer
    x = 416.28

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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.