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Finding the Fourth Proportional to 382.08, 572.82 and 228.08

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Solution

The fourth proportional to 382.08, 572.82 and 228.08 is: 341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 572.82 = 228.08 : x
  2. Step 2: Convert to fraction form
    382.08/572.82 = 228.08/x
  3. Step 3: Cross multiply
    382.08x = 572.82 × 228.08
  4. Step 4: Simplify right side
    382.08x = 130,645.92
  5. Step 5: Solve for x
    x = 130,645.92/382.08
  6. Step 6: Final answer
    x = 341.93

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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.