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Finding the Fourth Proportional to 600.05, 898.26 and 580.01

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Solution

The fourth proportional to 600.05, 898.26 and 580.01 is: 868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.05 : 898.26 = 580.01 : x
  2. Step 2: Convert to fraction form
    600.05/898.26 = 580.01/x
  3. Step 3: Cross multiply
    600.05x = 898.26 × 580.01
  4. Step 4: Simplify right side
    600.05x = 520,993.12
  5. Step 5: Solve for x
    x = 520,993.12/600.05
  6. Step 6: Final answer
    x = 868.25

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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.