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Finding the Fourth Proportional to 380.22, 569.62 and 218.04

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Solution

The fourth proportional to 380.22, 569.62 and 218.04 is: 326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 569.62 = 218.04 : x
  2. Step 2: Convert to fraction form
    380.22/569.62 = 218.04/x
  3. Step 3: Cross multiply
    380.22x = 569.62 × 218.04
  4. Step 4: Simplify right side
    380.22x = 124,199.94
  5. Step 5: Solve for x
    x = 124,199.94/380.22
  6. Step 6: Final answer
    x = 326.65

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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.