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Finding the Fourth Proportional to 343.25, 473.81 and 232.50

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Solution

The fourth proportional to 343.25, 473.81 and 232.50 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.25 : 473.81 = 232.50 : x
  2. Step 2: Convert to fraction form
    343.25/473.81 = 232.50/x
  3. Step 3: Cross multiply
    343.25x = 473.81 × 232.50
  4. Step 4: Simplify right side
    343.25x = 110,159.66
  5. Step 5: Solve for x
    x = 110,159.66/343.25
  6. Step 6: Final answer
    x = 320.94

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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.