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Finding the Fourth Proportional to 600.17, 898.83 and 383.09

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Solution

The fourth proportional to 600.17, 898.83 and 383.09 is: 573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.17 : 898.83 = 383.09 : x
  2. Step 2: Convert to fraction form
    600.17/898.83 = 383.09/x
  3. Step 3: Cross multiply
    600.17x = 898.83 × 383.09
  4. Step 4: Simplify right side
    600.17x = 344,328.29
  5. Step 5: Solve for x
    x = 344,328.29/600.17
  6. Step 6: Final answer
    x = 573.72

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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.