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Finding the Fourth Proportional to 521.47, 782.59 and 261.40

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Solution

The fourth proportional to 521.47, 782.59 and 261.40 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.47 : 782.59 = 261.40 : x
  2. Step 2: Convert to fraction form
    521.47/782.59 = 261.40/x
  3. Step 3: Cross multiply
    521.47x = 782.59 × 261.40
  4. Step 4: Simplify right side
    521.47x = 204,568.37
  5. Step 5: Solve for x
    x = 204,568.37/521.47
  6. Step 6: Final answer
    x = 392.29

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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.