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Finding the Fourth Proportional to 600.24, 898.54 and 580.19

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Solution

The fourth proportional to 600.24, 898.54 and 580.19 is: 868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 898.54 = 580.19 : x
  2. Step 2: Convert to fraction form
    600.24/898.54 = 580.19/x
  3. Step 3: Cross multiply
    600.24x = 898.54 × 580.19
  4. Step 4: Simplify right side
    600.24x = 521,324.72
  5. Step 5: Solve for x
    x = 521,324.72/600.24
  6. Step 6: Final answer
    x = 868.53

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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.