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Finding the Fourth Proportional to 465.52, 642.24 and 299.84

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Solution

The fourth proportional to 465.52, 642.24 and 299.84 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 642.24 = 299.84 : x
  2. Step 2: Convert to fraction form
    465.52/642.24 = 299.84/x
  3. Step 3: Cross multiply
    465.52x = 642.24 × 299.84
  4. Step 4: Simplify right side
    465.52x = 192,569.24
  5. Step 5: Solve for x
    x = 192,569.24/465.52
  6. Step 6: Final answer
    x = 413.66

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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.