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Finding the Fourth Proportional to 343.40, 473.16 and 232.68

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Solution

The fourth proportional to 343.40, 473.16 and 232.68 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 473.16 = 232.68 : x
  2. Step 2: Convert to fraction form
    343.40/473.16 = 232.68/x
  3. Step 3: Cross multiply
    343.40x = 473.16 × 232.68
  4. Step 4: Simplify right side
    343.40x = 110,095.77
  5. Step 5: Solve for x
    x = 110,095.77/343.40
  6. Step 6: Final answer
    x = 320.60

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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.