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Finding the Fourth Proportional to 488.12, 731.82 and 228.29

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Solution

The fourth proportional to 488.12, 731.82 and 228.29 is: 342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.12 : 731.82 = 228.29 : x
  2. Step 2: Convert to fraction form
    488.12/731.82 = 228.29/x
  3. Step 3: Cross multiply
    488.12x = 731.82 × 228.29
  4. Step 4: Simplify right side
    488.12x = 167,067.19
  5. Step 5: Solve for x
    x = 167,067.19/488.12
  6. Step 6: Final answer
    x = 342.27

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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.