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Finding the Fourth Proportional to 380.19, 570.34 and 197.64

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Solution

The fourth proportional to 380.19, 570.34 and 197.64 is: 296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 570.34 = 197.64 : x
  2. Step 2: Convert to fraction form
    380.19/570.34 = 197.64/x
  3. Step 3: Cross multiply
    380.19x = 570.34 × 197.64
  4. Step 4: Simplify right side
    380.19x = 112,722.24
  5. Step 5: Solve for x
    x = 112,722.24/380.19
  6. Step 6: Final answer
    x = 296.49

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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.