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Finding the Fourth Proportional to 465.56, 642.12 and 299.60

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Solution

The fourth proportional to 465.56, 642.12 and 299.60 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.56 : 642.12 = 299.60 : x
  2. Step 2: Convert to fraction form
    465.56/642.12 = 299.60/x
  3. Step 3: Cross multiply
    465.56x = 642.12 × 299.60
  4. Step 4: Simplify right side
    465.56x = 192,379.15
  5. Step 5: Solve for x
    x = 192,379.15/465.56
  6. Step 6: Final answer
    x = 413.22

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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.