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Finding the Fourth Proportional to 263.42, 394.80 and 256.61

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Solution

The fourth proportional to 263.42, 394.80 and 256.61 is: 384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.42 : 394.80 = 256.61 : x
  2. Step 2: Convert to fraction form
    263.42/394.80 = 256.61/x
  3. Step 3: Cross multiply
    263.42x = 394.80 × 256.61
  4. Step 4: Simplify right side
    263.42x = 101,309.63
  5. Step 5: Solve for x
    x = 101,309.63/263.42
  6. Step 6: Final answer
    x = 384.59

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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.