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Finding the Fourth Proportional to 313.24, 434.30 and 294.62

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Solution

The fourth proportional to 313.24, 434.30 and 294.62 is: 408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 434.30 = 294.62 : x
  2. Step 2: Convert to fraction form
    313.24/434.30 = 294.62/x
  3. Step 3: Cross multiply
    313.24x = 434.30 × 294.62
  4. Step 4: Simplify right side
    313.24x = 127,953.47
  5. Step 5: Solve for x
    x = 127,953.47/313.24
  6. Step 6: Final answer
    x = 408.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.