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Finding the Fourth Proportional to 465.71, 698.20 and 209.03

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Solution

The fourth proportional to 465.71, 698.20 and 209.03 is: 313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.71 : 698.20 = 209.03 : x
  2. Step 2: Convert to fraction form
    465.71/698.20 = 209.03/x
  3. Step 3: Cross multiply
    465.71x = 698.20 × 209.03
  4. Step 4: Simplify right side
    465.71x = 145,944.75
  5. Step 5: Solve for x
    x = 145,944.75/465.71
  6. Step 6: Final answer
    x = 313.38

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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.