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Finding the Fourth Proportional to 600.99, 901.82 and 271.81

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Solution

The fourth proportional to 600.99, 901.82 and 271.81 is: 407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.99 : 901.82 = 271.81 : x
  2. Step 2: Convert to fraction form
    600.99/901.82 = 271.81/x
  3. Step 3: Cross multiply
    600.99x = 901.82 × 271.81
  4. Step 4: Simplify right side
    600.99x = 245,123.69
  5. Step 5: Solve for x
    x = 245,123.69/600.99
  6. Step 6: Final answer
    x = 407.87

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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.