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Finding the Fourth Proportional to 465.67, 698.19 and 260.34

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Solution

The fourth proportional to 465.67, 698.19 and 260.34 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.67 : 698.19 = 260.34 : x
  2. Step 2: Convert to fraction form
    465.67/698.19 = 260.34/x
  3. Step 3: Cross multiply
    465.67x = 698.19 × 260.34
  4. Step 4: Simplify right side
    465.67x = 181,766.78
  5. Step 5: Solve for x
    x = 181,766.78/465.67
  6. Step 6: Final answer
    x = 390.33

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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.