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Finding the Fourth Proportional to 380.22, 524.72 and 212.19

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Solution

The fourth proportional to 380.22, 524.72 and 212.19 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 524.72 = 212.19 : x
  2. Step 2: Convert to fraction form
    380.22/524.72 = 212.19/x
  3. Step 3: Cross multiply
    380.22x = 524.72 × 212.19
  4. Step 4: Simplify right side
    380.22x = 111,340.34
  5. Step 5: Solve for x
    x = 111,340.34/380.22
  6. Step 6: Final answer
    x = 292.83

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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.