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Finding the Fourth Proportional to 381.69, 526.77 and 224.36

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Solution

The fourth proportional to 381.69, 526.77 and 224.36 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 526.77 = 224.36 : x
  2. Step 2: Convert to fraction form
    381.69/526.77 = 224.36/x
  3. Step 3: Cross multiply
    381.69x = 526.77 × 224.36
  4. Step 4: Simplify right side
    381.69x = 118,183.48
  5. Step 5: Solve for x
    x = 118,183.48/381.69
  6. Step 6: Final answer
    x = 309.63

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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.