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Finding the Fourth Proportional to 359.71, 496.64 and 276.67

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Solution

The fourth proportional to 359.71, 496.64 and 276.67 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.71 : 496.64 = 276.67 : x
  2. Step 2: Convert to fraction form
    359.71/496.64 = 276.67/x
  3. Step 3: Cross multiply
    359.71x = 496.64 × 276.67
  4. Step 4: Simplify right side
    359.71x = 137,404.01
  5. Step 5: Solve for x
    x = 137,404.01/359.71
  6. Step 6: Final answer
    x = 381.99

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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.