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Finding the Fourth Proportional to 394.98, 545.07 and 224.63

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Solution

The fourth proportional to 394.98, 545.07 and 224.63 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.98 : 545.07 = 224.63 : x
  2. Step 2: Convert to fraction form
    394.98/545.07 = 224.63/x
  3. Step 3: Cross multiply
    394.98x = 545.07 × 224.63
  4. Step 4: Simplify right side
    394.98x = 122,439.07
  5. Step 5: Solve for x
    x = 122,439.07/394.98
  6. Step 6: Final answer
    x = 309.99

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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.