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Finding the Fourth Proportional to 600.75, 898.83 and 418.50

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Solution

The fourth proportional to 600.75, 898.83 and 418.50 is: 626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 898.83 = 418.50 : x
  2. Step 2: Convert to fraction form
    600.75/898.83 = 418.50/x
  3. Step 3: Cross multiply
    600.75x = 898.83 × 418.50
  4. Step 4: Simplify right side
    600.75x = 376,160.36
  5. Step 5: Solve for x
    x = 376,160.36/600.75
  6. Step 6: Final answer
    x = 626.15

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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.