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Finding the Fourth Proportional to 258.34, 385.80 and 244.30

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Solution

The fourth proportional to 258.34, 385.80 and 244.30 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.34 : 385.80 = 244.30 : x
  2. Step 2: Convert to fraction form
    258.34/385.80 = 244.30/x
  3. Step 3: Cross multiply
    258.34x = 385.80 × 244.30
  4. Step 4: Simplify right side
    258.34x = 94,250.94
  5. Step 5: Solve for x
    x = 94,250.94/258.34
  6. Step 6: Final answer
    x = 364.83

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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.