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Finding the Fourth Proportional to 600.11, 898.88 and 462.14

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Solution

The fourth proportional to 600.11, 898.88 and 462.14 is: 692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.11 : 898.88 = 462.14 : x
  2. Step 2: Convert to fraction form
    600.11/898.88 = 462.14/x
  3. Step 3: Cross multiply
    600.11x = 898.88 × 462.14
  4. Step 4: Simplify right side
    600.11x = 415,401.60
  5. Step 5: Solve for x
    x = 415,401.60/600.11
  6. Step 6: Final answer
    x = 692.21

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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.