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Finding the Fourth Proportional to 521.06, 782.13 and 482.18

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Solution

The fourth proportional to 521.06, 782.13 and 482.18 is: 723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.06 : 782.13 = 482.18 : x
  2. Step 2: Convert to fraction form
    521.06/782.13 = 482.18/x
  3. Step 3: Cross multiply
    521.06x = 782.13 × 482.18
  4. Step 4: Simplify right side
    521.06x = 377,127.44
  5. Step 5: Solve for x
    x = 377,127.44/521.06
  6. Step 6: Final answer
    x = 723.77

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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.