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Finding the Fourth Proportional to 521.88, 781.80 and 326.40

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Solution

The fourth proportional to 521.88, 781.80 and 326.40 is: 488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 781.80 = 326.40 : x
  2. Step 2: Convert to fraction form
    521.88/781.80 = 326.40/x
  3. Step 3: Cross multiply
    521.88x = 781.80 × 326.40
  4. Step 4: Simplify right side
    521.88x = 255,179.52
  5. Step 5: Solve for x
    x = 255,179.52/521.88
  6. Step 6: Final answer
    x = 488.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.