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Finding the Fourth Proportional to 465.59, 698.34 and 177.02

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Solution

The fourth proportional to 465.59, 698.34 and 177.02 is: 265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.59 : 698.34 = 177.02 : x
  2. Step 2: Convert to fraction form
    465.59/698.34 = 177.02/x
  3. Step 3: Cross multiply
    465.59x = 698.34 × 177.02
  4. Step 4: Simplify right side
    465.59x = 123,616.66
  5. Step 5: Solve for x
    x = 123,616.66/465.59
  6. Step 6: Final answer
    x = 265.51

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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.