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Finding the Fourth Proportional to 380.36, 570.85 and 197.82

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Solution

The fourth proportional to 380.36, 570.85 and 197.82 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 570.85 = 197.82 : x
  2. Step 2: Convert to fraction form
    380.36/570.85 = 197.82/x
  3. Step 3: Cross multiply
    380.36x = 570.85 × 197.82
  4. Step 4: Simplify right side
    380.36x = 112,925.05
  5. Step 5: Solve for x
    x = 112,925.05/380.36
  6. Step 6: Final answer
    x = 296.89

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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.