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Finding the Fourth Proportional to 600.36, 898.68 and 325.76

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Solution

The fourth proportional to 600.36, 898.68 and 325.76 is: 487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.36 : 898.68 = 325.76 : x
  2. Step 2: Convert to fraction form
    600.36/898.68 = 325.76/x
  3. Step 3: Cross multiply
    600.36x = 898.68 × 325.76
  4. Step 4: Simplify right side
    600.36x = 292,754.00
  5. Step 5: Solve for x
    x = 292,754.00/600.36
  6. Step 6: Final answer
    x = 487.63

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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.