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Finding the Fourth Proportional to 380, 569.82 and 197.48

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Solution

The fourth proportional to 380, 569.82 and 197.48 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 569.82 = 197.48 : x
  2. Step 2: Convert to fraction form
    380/569.82 = 197.48/x
  3. Step 3: Cross multiply
    380x = 569.82 × 197.48
  4. Step 4: Simplify right side
    380x = 112,528.05
  5. Step 5: Solve for x
    x = 112,528.05/380
  6. Step 6: Final answer
    x = 296.13

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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.