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Finding the Fourth Proportional to 580.84, 871.26 and 288.43

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Solution

The fourth proportional to 580.84, 871.26 and 288.43 is: 432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 871.26 = 288.43 : x
  2. Step 2: Convert to fraction form
    580.84/871.26 = 288.43/x
  3. Step 3: Cross multiply
    580.84x = 871.26 × 288.43
  4. Step 4: Simplify right side
    580.84x = 251,297.52
  5. Step 5: Solve for x
    x = 251,297.52/580.84
  6. Step 6: Final answer
    x = 432.65

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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.