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Finding the Fourth Proportional to 465.63, 698.46 and 177.09

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Solution

The fourth proportional to 465.63, 698.46 and 177.09 is: 265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 698.46 = 177.09 : x
  2. Step 2: Convert to fraction form
    465.63/698.46 = 177.09/x
  3. Step 3: Cross multiply
    465.63x = 698.46 × 177.09
  4. Step 4: Simplify right side
    465.63x = 123,690.28
  5. Step 5: Solve for x
    x = 123,690.28/465.63
  6. Step 6: Final answer
    x = 265.64

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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.