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Finding the Fourth Proportional to 409.50, 565.59 and 271.26

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Solution

The fourth proportional to 409.50, 565.59 and 271.26 is: 374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 565.59 = 271.26 : x
  2. Step 2: Convert to fraction form
    409.50/565.59 = 271.26/x
  3. Step 3: Cross multiply
    409.50x = 565.59 × 271.26
  4. Step 4: Simplify right side
    409.50x = 153,421.94
  5. Step 5: Solve for x
    x = 153,421.94/409.50
  6. Step 6: Final answer
    x = 374.66

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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.