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Finding the Fourth Proportional to 366.48, 502.74 and 344.40

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Solution

The fourth proportional to 366.48, 502.74 and 344.40 is: 472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.48 : 502.74 = 344.40 : x
  2. Step 2: Convert to fraction form
    366.48/502.74 = 344.40/x
  3. Step 3: Cross multiply
    366.48x = 502.74 × 344.40
  4. Step 4: Simplify right side
    366.48x = 173,143.66
  5. Step 5: Solve for x
    x = 173,143.66/366.48
  6. Step 6: Final answer
    x = 472.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.