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Finding the Fourth Proportional to 465.41, 642.16 and 299.68

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Solution

The fourth proportional to 465.41, 642.16 and 299.68 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.41 : 642.16 = 299.68 : x
  2. Step 2: Convert to fraction form
    465.41/642.16 = 299.68/x
  3. Step 3: Cross multiply
    465.41x = 642.16 × 299.68
  4. Step 4: Simplify right side
    465.41x = 192,442.51
  5. Step 5: Solve for x
    x = 192,442.51/465.41
  6. Step 6: Final answer
    x = 413.49

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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.