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Finding the Fourth Proportional to 465.81, 698.11 and 416.77

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Solution

The fourth proportional to 465.81, 698.11 and 416.77 is: 624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.81 : 698.11 = 416.77 : x
  2. Step 2: Convert to fraction form
    465.81/698.11 = 416.77/x
  3. Step 3: Cross multiply
    465.81x = 698.11 × 416.77
  4. Step 4: Simplify right side
    465.81x = 290,951.30
  5. Step 5: Solve for x
    x = 290,951.30/465.81
  6. Step 6: Final answer
    x = 624.61

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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.