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Finding the Fourth Proportional to 343.26, 473.49 and 299.70

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Solution

The fourth proportional to 343.26, 473.49 and 299.70 is: 413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.26 : 473.49 = 299.70 : x
  2. Step 2: Convert to fraction form
    343.26/473.49 = 299.70/x
  3. Step 3: Cross multiply
    343.26x = 473.49 × 299.70
  4. Step 4: Simplify right side
    343.26x = 141,904.95
  5. Step 5: Solve for x
    x = 141,904.95/343.26
  6. Step 6: Final answer
    x = 413.40

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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.