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Finding the Fourth Proportional to 302.38, 413.60 and 297.61

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Solution

The fourth proportional to 302.38, 413.60 and 297.61 is: 407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.38 : 413.60 = 297.61 : x
  2. Step 2: Convert to fraction form
    302.38/413.60 = 297.61/x
  3. Step 3: Cross multiply
    302.38x = 413.60 × 297.61
  4. Step 4: Simplify right side
    302.38x = 123,088.97
  5. Step 5: Solve for x
    x = 123,088.97/302.38
  6. Step 6: Final answer
    x = 407.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.