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Finding the Fourth Proportional to 380.00, 524.34 and 224.75

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Solution

The fourth proportional to 380.00, 524.34 and 224.75 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.00 : 524.34 = 224.75 : x
  2. Step 2: Convert to fraction form
    380.00/524.34 = 224.75/x
  3. Step 3: Cross multiply
    380.00x = 524.34 × 224.75
  4. Step 4: Simplify right side
    380.00x = 117,842.79
  5. Step 5: Solve for x
    x = 117,842.79/380.00
  6. Step 6: Final answer
    x = 310.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.