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Finding the Fourth Proportional to 343.30, 473.24 and 296.46

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Solution

The fourth proportional to 343.30, 473.24 and 296.46 is: 408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.30 : 473.24 = 296.46 : x
  2. Step 2: Convert to fraction form
    343.30/473.24 = 296.46/x
  3. Step 3: Cross multiply
    343.30x = 473.24 × 296.46
  4. Step 4: Simplify right side
    343.30x = 140,296.73
  5. Step 5: Solve for x
    x = 140,296.73/343.30
  6. Step 6: Final answer
    x = 408.67

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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.