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Finding the Fourth Proportional to 409.63, 565.31 and 223.13

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Solution

The fourth proportional to 409.63, 565.31 and 223.13 is: 307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 565.31 = 223.13 : x
  2. Step 2: Convert to fraction form
    409.63/565.31 = 223.13/x
  3. Step 3: Cross multiply
    409.63x = 565.31 × 223.13
  4. Step 4: Simplify right side
    409.63x = 126,135.37
  5. Step 5: Solve for x
    x = 126,135.37/409.63
  6. Step 6: Final answer
    x = 307.92

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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.