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Finding the Fourth Proportional to 382.32, 527.48 and 224.84

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Solution

The fourth proportional to 382.32, 527.48 and 224.84 is: 310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.32 : 527.48 = 224.84 : x
  2. Step 2: Convert to fraction form
    382.32/527.48 = 224.84/x
  3. Step 3: Cross multiply
    382.32x = 527.48 × 224.84
  4. Step 4: Simplify right side
    382.32x = 118,598.60
  5. Step 5: Solve for x
    x = 118,598.60/382.32
  6. Step 6: Final answer
    x = 310.21

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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.