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Finding the Fourth Proportional to 521.60, 780.57 and 412.25

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Solution

The fourth proportional to 521.60, 780.57 and 412.25 is: 616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.60 : 780.57 = 412.25 : x
  2. Step 2: Convert to fraction form
    521.60/780.57 = 412.25/x
  3. Step 3: Cross multiply
    521.60x = 780.57 × 412.25
  4. Step 4: Simplify right side
    521.60x = 321,789.98
  5. Step 5: Solve for x
    x = 321,789.98/521.60
  6. Step 6: Final answer
    x = 616.93

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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.