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Finding the Fourth Proportional to 258.91, 386.47 and 228.15

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Solution

The fourth proportional to 258.91, 386.47 and 228.15 is: 340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.91 : 386.47 = 228.15 : x
  2. Step 2: Convert to fraction form
    258.91/386.47 = 228.15/x
  3. Step 3: Cross multiply
    258.91x = 386.47 × 228.15
  4. Step 4: Simplify right side
    258.91x = 88,173.38
  5. Step 5: Solve for x
    x = 88,173.38/258.91
  6. Step 6: Final answer
    x = 340.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.