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Finding the Fourth Proportional to 374.09, 560.50 and 271.37

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Solution

The fourth proportional to 374.09, 560.50 and 271.37 is: 406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.09 : 560.50 = 271.37 : x
  2. Step 2: Convert to fraction form
    374.09/560.50 = 271.37/x
  3. Step 3: Cross multiply
    374.09x = 560.50 × 271.37
  4. Step 4: Simplify right side
    374.09x = 152,103.61
  5. Step 5: Solve for x
    x = 152,103.61/374.09
  6. Step 6: Final answer
    x = 406.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.