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Finding the Fourth Proportional to 521.29, 782.07 and 277.75

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Solution

The fourth proportional to 521.29, 782.07 and 277.75 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.29 : 782.07 = 277.75 : x
  2. Step 2: Convert to fraction form
    521.29/782.07 = 277.75/x
  3. Step 3: Cross multiply
    521.29x = 782.07 × 277.75
  4. Step 4: Simplify right side
    521.29x = 217,219.94
  5. Step 5: Solve for x
    x = 217,219.94/521.29
  6. Step 6: Final answer
    x = 416.70

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Double scale
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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.