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Finding the Fourth Proportional to 283.76, 425.05 and 263.26

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Solution

The fourth proportional to 283.76, 425.05 and 263.26 is: 394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.76 : 425.05 = 263.26 : x
  2. Step 2: Convert to fraction form
    283.76/425.05 = 263.26/x
  3. Step 3: Cross multiply
    283.76x = 425.05 × 263.26
  4. Step 4: Simplify right side
    283.76x = 111,898.66
  5. Step 5: Solve for x
    x = 111,898.66/283.76
  6. Step 6: Final answer
    x = 394.34

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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.