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Finding the Fourth Proportional to 521.68, 782.83 and 339.16

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Solution

The fourth proportional to 521.68, 782.83 and 339.16 is: 508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.68 : 782.83 = 339.16 : x
  2. Step 2: Convert to fraction form
    521.68/782.83 = 339.16/x
  3. Step 3: Cross multiply
    521.68x = 782.83 × 339.16
  4. Step 4: Simplify right side
    521.68x = 265,504.62
  5. Step 5: Solve for x
    x = 265,504.62/521.68
  6. Step 6: Final answer
    x = 508.94

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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.