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Finding the Fourth Proportional to 382.01, 527.00 and 224.66

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Solution

The fourth proportional to 382.01, 527.00 and 224.66 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.01 : 527.00 = 224.66 : x
  2. Step 2: Convert to fraction form
    382.01/527.00 = 224.66/x
  3. Step 3: Cross multiply
    382.01x = 527.00 × 224.66
  4. Step 4: Simplify right side
    382.01x = 118,392.06
  5. Step 5: Solve for x
    x = 118,392.06/382.01
  6. Step 6: Final answer
    x = 309.92

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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.