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Finding the Fourth Proportional to 409.61, 565.27 and 223.10

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Solution

The fourth proportional to 409.61, 565.27 and 223.10 is: 307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.61 : 565.27 = 223.10 : x
  2. Step 2: Convert to fraction form
    409.61/565.27 = 223.10/x
  3. Step 3: Cross multiply
    409.61x = 565.27 × 223.10
  4. Step 4: Simplify right side
    409.61x = 126,111.74
  5. Step 5: Solve for x
    x = 126,111.74/409.61
  6. Step 6: Final answer
    x = 307.88

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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.