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Finding the Fourth Proportional to 380.22, 569.12 and 288.29

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Solution

The fourth proportional to 380.22, 569.12 and 288.29 is: 431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 569.12 = 288.29 : x
  2. Step 2: Convert to fraction form
    380.22/569.12 = 288.29/x
  3. Step 3: Cross multiply
    380.22x = 569.12 × 288.29
  4. Step 4: Simplify right side
    380.22x = 164,067.32
  5. Step 5: Solve for x
    x = 164,067.32/380.22
  6. Step 6: Final answer
    x = 431.51

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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.