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Finding the Fourth Proportional to 380.40, 569.76 and 197.34

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Solution

The fourth proportional to 380.40, 569.76 and 197.34 is: 295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.40 : 569.76 = 197.34 : x
  2. Step 2: Convert to fraction form
    380.40/569.76 = 197.34/x
  3. Step 3: Cross multiply
    380.40x = 569.76 × 197.34
  4. Step 4: Simplify right side
    380.40x = 112,436.44
  5. Step 5: Solve for x
    x = 112,436.44/380.40
  6. Step 6: Final answer
    x = 295.57

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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.