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Finding the Fourth Proportional to 521.74, 782.38 and 209.28

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Solution

The fourth proportional to 521.74, 782.38 and 209.28 is: 313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.74 : 782.38 = 209.28 : x
  2. Step 2: Convert to fraction form
    521.74/782.38 = 209.28/x
  3. Step 3: Cross multiply
    521.74x = 782.38 × 209.28
  4. Step 4: Simplify right side
    521.74x = 163,736.49
  5. Step 5: Solve for x
    x = 163,736.49/521.74
  6. Step 6: Final answer
    x = 313.83

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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.