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Finding the Fourth Proportional to 338.31, 507.20 and 228.47

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Solution

The fourth proportional to 338.31, 507.20 and 228.47 is: 342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 507.20 = 228.47 : x
  2. Step 2: Convert to fraction form
    338.31/507.20 = 228.47/x
  3. Step 3: Cross multiply
    338.31x = 507.20 × 228.47
  4. Step 4: Simplify right side
    338.31x = 115,876.31
  5. Step 5: Solve for x
    x = 115,876.31/338.31
  6. Step 6: Final answer
    x = 342.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.