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Finding the Fourth Proportional to 319.69, 477.22 and 276.64

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Solution

The fourth proportional to 319.69, 477.22 and 276.64 is: 412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.69 : 477.22 = 276.64 : x
  2. Step 2: Convert to fraction form
    319.69/477.22 = 276.64/x
  3. Step 3: Cross multiply
    319.69x = 477.22 × 276.64
  4. Step 4: Simplify right side
    319.69x = 132,018.14
  5. Step 5: Solve for x
    x = 132,018.14/319.69
  6. Step 6: Final answer
    x = 412.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.