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Finding the Fourth Proportional to 381.63, 526.56 and 224.26

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Solution

The fourth proportional to 381.63, 526.56 and 224.26 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.63 : 526.56 = 224.26 : x
  2. Step 2: Convert to fraction form
    381.63/526.56 = 224.26/x
  3. Step 3: Cross multiply
    381.63x = 526.56 × 224.26
  4. Step 4: Simplify right side
    381.63x = 118,086.35
  5. Step 5: Solve for x
    x = 118,086.35/381.63
  6. Step 6: Final answer
    x = 309.43

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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.