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Finding the Fourth Proportional to 409.72, 565.12 and 262.54

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Solution

The fourth proportional to 409.72, 565.12 and 262.54 is: 362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 565.12 = 262.54 : x
  2. Step 2: Convert to fraction form
    409.72/565.12 = 262.54/x
  3. Step 3: Cross multiply
    409.72x = 565.12 × 262.54
  4. Step 4: Simplify right side
    409.72x = 148,366.60
  5. Step 5: Solve for x
    x = 148,366.60/409.72
  6. Step 6: Final answer
    x = 362.12

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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.