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Finding the Fourth Proportional to 380.16, 570.42 and 226.16

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Solution

The fourth proportional to 380.16, 570.42 and 226.16 is: 339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 570.42 = 226.16 : x
  2. Step 2: Convert to fraction form
    380.16/570.42 = 226.16/x
  3. Step 3: Cross multiply
    380.16x = 570.42 × 226.16
  4. Step 4: Simplify right side
    380.16x = 129,006.19
  5. Step 5: Solve for x
    x = 129,006.19/380.16
  6. Step 6: Final answer
    x = 339.35

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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.