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Finding the Fourth Proportional to 465.39, 698.40 and 176.82

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Solution

The fourth proportional to 465.39, 698.40 and 176.82 is: 265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 698.40 = 176.82 : x
  2. Step 2: Convert to fraction form
    465.39/698.40 = 176.82/x
  3. Step 3: Cross multiply
    465.39x = 698.40 × 176.82
  4. Step 4: Simplify right side
    465.39x = 123,491.09
  5. Step 5: Solve for x
    x = 123,491.09/465.39
  6. Step 6: Final answer
    x = 265.35

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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.