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Finding the Fourth Proportional to 380.12, 524.58 and 212.08

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Solution

The fourth proportional to 380.12, 524.58 and 212.08 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 524.58 = 212.08 : x
  2. Step 2: Convert to fraction form
    380.12/524.58 = 212.08/x
  3. Step 3: Cross multiply
    380.12x = 524.58 × 212.08
  4. Step 4: Simplify right side
    380.12x = 111,252.93
  5. Step 5: Solve for x
    x = 111,252.93/380.12
  6. Step 6: Final answer
    x = 292.68

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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.