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Finding the Fourth Proportional to 343.61, 473.77 and 238.79

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Solution

The fourth proportional to 343.61, 473.77 and 238.79 is: 329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.61 : 473.77 = 238.79 : x
  2. Step 2: Convert to fraction form
    343.61/473.77 = 238.79/x
  3. Step 3: Cross multiply
    343.61x = 473.77 × 238.79
  4. Step 4: Simplify right side
    343.61x = 113,132.13
  5. Step 5: Solve for x
    x = 113,132.13/343.61
  6. Step 6: Final answer
    x = 329.24

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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.