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Finding the Fourth Proportional to 405.04, 558.81 and 227.97

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Solution

The fourth proportional to 405.04, 558.81 and 227.97 is: 314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.04 : 558.81 = 227.97 : x
  2. Step 2: Convert to fraction form
    405.04/558.81 = 227.97/x
  3. Step 3: Cross multiply
    405.04x = 558.81 × 227.97
  4. Step 4: Simplify right side
    405.04x = 127,392.34
  5. Step 5: Solve for x
    x = 127,392.34/405.04
  6. Step 6: Final answer
    x = 314.52

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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.