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Finding the Fourth Proportional to 344.73, 474.31 and 297.95

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Solution

The fourth proportional to 344.73, 474.31 and 297.95 is: 409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.73 : 474.31 = 297.95 : x
  2. Step 2: Convert to fraction form
    344.73/474.31 = 297.95/x
  3. Step 3: Cross multiply
    344.73x = 474.31 × 297.95
  4. Step 4: Simplify right side
    344.73x = 141,318.29
  5. Step 5: Solve for x
    x = 141,318.29/344.73
  6. Step 6: Final answer
    x = 409.95

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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.