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Finding the Fourth Proportional to 315.99, 473.45 and 224.23

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Solution

The fourth proportional to 315.99, 473.45 and 224.23 is: 335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.99 : 473.45 = 224.23 : x
  2. Step 2: Convert to fraction form
    315.99/473.45 = 224.23/x
  3. Step 3: Cross multiply
    315.99x = 473.45 × 224.23
  4. Step 4: Simplify right side
    315.99x = 106,161.69
  5. Step 5: Solve for x
    x = 106,161.69/315.99
  6. Step 6: Final answer
    x = 335.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.