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Finding the Fourth Proportional to 359.10, 494.37 and 271.62

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Solution

The fourth proportional to 359.10, 494.37 and 271.62 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 494.37 = 271.62 : x
  2. Step 2: Convert to fraction form
    359.10/494.37 = 271.62/x
  3. Step 3: Cross multiply
    359.10x = 494.37 × 271.62
  4. Step 4: Simplify right side
    359.10x = 134,280.78
  5. Step 5: Solve for x
    x = 134,280.78/359.10
  6. Step 6: Final answer
    x = 373.94

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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.