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Finding the Fourth Proportional to 409.93, 565.71 and 223.42

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Solution

The fourth proportional to 409.93, 565.71 and 223.42 is: 308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.93 : 565.71 = 223.42 : x
  2. Step 2: Convert to fraction form
    409.93/565.71 = 223.42/x
  3. Step 3: Cross multiply
    409.93x = 565.71 × 223.42
  4. Step 4: Simplify right side
    409.93x = 126,390.93
  5. Step 5: Solve for x
    x = 126,390.93/409.93
  6. Step 6: Final answer
    x = 308.32

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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.