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Finding the Fourth Proportional to 380.30, 569.85 and 197.42

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Solution

The fourth proportional to 380.30, 569.85 and 197.42 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.30 : 569.85 = 197.42 : x
  2. Step 2: Convert to fraction form
    380.30/569.85 = 197.42/x
  3. Step 3: Cross multiply
    380.30x = 569.85 × 197.42
  4. Step 4: Simplify right side
    380.30x = 112,499.79
  5. Step 5: Solve for x
    x = 112,499.79/380.30
  6. Step 6: Final answer
    x = 295.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.