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Finding the Fourth Proportional to 465.64, 642.36 and 299.80

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Solution

The fourth proportional to 465.64, 642.36 and 299.80 is: 413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.64 : 642.36 = 299.80 : x
  2. Step 2: Convert to fraction form
    465.64/642.36 = 299.80/x
  3. Step 3: Cross multiply
    465.64x = 642.36 × 299.80
  4. Step 4: Simplify right side
    465.64x = 192,579.53
  5. Step 5: Solve for x
    x = 192,579.53/465.64
  6. Step 6: Final answer
    x = 413.58

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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.