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Finding the Fourth Proportional to 258.58, 385.10 and 255.84

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Solution

The fourth proportional to 258.58, 385.10 and 255.84 is: 381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.58 : 385.10 = 255.84 : x
  2. Step 2: Convert to fraction form
    258.58/385.10 = 255.84/x
  3. Step 3: Cross multiply
    258.58x = 385.10 × 255.84
  4. Step 4: Simplify right side
    258.58x = 98,523.98
  5. Step 5: Solve for x
    x = 98,523.98/258.58
  6. Step 6: Final answer
    x = 381.02

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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.