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Finding the Fourth Proportional to 521.28, 782.01 and 277.65

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Solution

The fourth proportional to 521.28, 782.01 and 277.65 is: 416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.28 : 782.01 = 277.65 : x
  2. Step 2: Convert to fraction form
    521.28/782.01 = 277.65/x
  3. Step 3: Cross multiply
    521.28x = 782.01 × 277.65
  4. Step 4: Simplify right side
    521.28x = 217,125.08
  5. Step 5: Solve for x
    x = 217,125.08/521.28
  6. Step 6: Final answer
    x = 416.52

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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.