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Finding the Fourth Proportional to 580.11, 866.37 and 521.79

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Solution

The fourth proportional to 580.11, 866.37 and 521.79 is: 779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.11 : 866.37 = 521.79 : x
  2. Step 2: Convert to fraction form
    580.11/866.37 = 521.79/x
  3. Step 3: Cross multiply
    580.11x = 866.37 × 521.79
  4. Step 4: Simplify right side
    580.11x = 452,063.20
  5. Step 5: Solve for x
    x = 452,063.20/580.11
  6. Step 6: Final answer
    x = 779.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.