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Finding the Fourth Proportional to 380.38, 524.92 and 225.13

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Solution

The fourth proportional to 380.38, 524.92 and 225.13 is: 310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 524.92 = 225.13 : x
  2. Step 2: Convert to fraction form
    380.38/524.92 = 225.13/x
  3. Step 3: Cross multiply
    380.38x = 524.92 × 225.13
  4. Step 4: Simplify right side
    380.38x = 118,172.05
  5. Step 5: Solve for x
    x = 118,172.05/380.38
  6. Step 6: Final answer
    x = 310.67

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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.