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Finding the Fourth Proportional to 521.04, 781.40 and 277.43

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Solution

The fourth proportional to 521.04, 781.40 and 277.43 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.04 : 781.40 = 277.43 : x
  2. Step 2: Convert to fraction form
    521.04/781.40 = 277.43/x
  3. Step 3: Cross multiply
    521.04x = 781.40 × 277.43
  4. Step 4: Simplify right side
    521.04x = 216,786.45
  5. Step 5: Solve for x
    x = 216,786.45/521.04
  6. Step 6: Final answer
    x = 416.06

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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.