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Finding the Fourth Proportional to 465.28, 698.12 and 176.80

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Solution

The fourth proportional to 465.28, 698.12 and 176.80 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.28 : 698.12 = 176.80 : x
  2. Step 2: Convert to fraction form
    465.28/698.12 = 176.80/x
  3. Step 3: Cross multiply
    465.28x = 698.12 × 176.80
  4. Step 4: Simplify right side
    465.28x = 123,427.62
  5. Step 5: Solve for x
    x = 123,427.62/465.28
  6. Step 6: Final answer
    x = 265.28

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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.