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Finding the Fourth Proportional to 409.66, 565.34 and 223.16

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Solution

The fourth proportional to 409.66, 565.34 and 223.16 is: 307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.66 : 565.34 = 223.16 : x
  2. Step 2: Convert to fraction form
    409.66/565.34 = 223.16/x
  3. Step 3: Cross multiply
    409.66x = 565.34 × 223.16
  4. Step 4: Simplify right side
    409.66x = 126,157.33
  5. Step 5: Solve for x
    x = 126,157.33/409.66
  6. Step 6: Final answer
    x = 307.96

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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.