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Finding the Fourth Proportional to 580.98, 867.55 and 577.56

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Solution

The fourth proportional to 580.98, 867.55 and 577.56 is: 862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.98 : 867.55 = 577.56 : x
  2. Step 2: Convert to fraction form
    580.98/867.55 = 577.56/x
  3. Step 3: Cross multiply
    580.98x = 867.55 × 577.56
  4. Step 4: Simplify right side
    580.98x = 501,060.73
  5. Step 5: Solve for x
    x = 501,060.73/580.98
  6. Step 6: Final answer
    x = 862.44

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Why These Related Problems?

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