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Finding the Fourth Proportional to 380.22, 569.52 and 235.50

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Solution

The fourth proportional to 380.22, 569.52 and 235.50 is: 352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 569.52 = 235.50 : x
  2. Step 2: Convert to fraction form
    380.22/569.52 = 235.50/x
  3. Step 3: Cross multiply
    380.22x = 569.52 × 235.50
  4. Step 4: Simplify right side
    380.22x = 134,121.96
  5. Step 5: Solve for x
    x = 134,121.96/380.22
  6. Step 6: Final answer
    x = 352.75

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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.