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Finding the Fourth Proportional to 258.44, 385.79 and 240.21

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Solution

The fourth proportional to 258.44, 385.79 and 240.21 is: 358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 385.79 = 240.21 : x
  2. Step 2: Convert to fraction form
    258.44/385.79 = 240.21/x
  3. Step 3: Cross multiply
    258.44x = 385.79 × 240.21
  4. Step 4: Simplify right side
    258.44x = 92,670.62
  5. Step 5: Solve for x
    x = 92,670.62/258.44
  6. Step 6: Final answer
    x = 358.58

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Why These Related Problems?

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