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Finding the Fourth Proportional to 263.93, 395.45 and 258.47

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Solution

The fourth proportional to 263.93, 395.45 and 258.47 is: 387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.93 : 395.45 = 258.47 : x
  2. Step 2: Convert to fraction form
    263.93/395.45 = 258.47/x
  3. Step 3: Cross multiply
    263.93x = 395.45 × 258.47
  4. Step 4: Simplify right side
    263.93x = 102,208.69
  5. Step 5: Solve for x
    x = 102,208.69/263.93
  6. Step 6: Final answer
    x = 387.25

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Why These Related Problems?

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