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Finding the Fourth Proportional to 650.81, 898.06 and 371.02

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Solution

The fourth proportional to 650.81, 898.06 and 371.02 is: 511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.81 : 898.06 = 371.02 : x
  2. Step 2: Convert to fraction form
    650.81/898.06 = 371.02/x
  3. Step 3: Cross multiply
    650.81x = 898.06 × 371.02
  4. Step 4: Simplify right side
    650.81x = 333,191.88
  5. Step 5: Solve for x
    x = 333,191.88/650.81
  6. Step 6: Final answer
    x = 511.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.