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Finding the Fourth Proportional to 343.61, 474.23 and 314.45

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Solution

The fourth proportional to 343.61, 474.23 and 314.45 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.61 : 474.23 = 314.45 : x
  2. Step 2: Convert to fraction form
    343.61/474.23 = 314.45/x
  3. Step 3: Cross multiply
    343.61x = 474.23 × 314.45
  4. Step 4: Simplify right side
    343.61x = 149,121.62
  5. Step 5: Solve for x
    x = 149,121.62/343.61
  6. Step 6: Final answer
    x = 433.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.