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Finding the Fourth Proportional to 465.60, 642.09 and 299.52

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Solution

The fourth proportional to 465.60, 642.09 and 299.52 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 642.09 = 299.52 : x
  2. Step 2: Convert to fraction form
    465.60/642.09 = 299.52/x
  3. Step 3: Cross multiply
    465.60x = 642.09 × 299.52
  4. Step 4: Simplify right side
    465.60x = 192,318.80
  5. Step 5: Solve for x
    x = 192,318.80/465.60
  6. Step 6: Final answer
    x = 413.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.