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Finding the Fourth Proportional to 301.24, 414.80 and 256.92

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Solution

The fourth proportional to 301.24, 414.80 and 256.92 is: 353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.24 : 414.80 = 256.92 : x
  2. Step 2: Convert to fraction form
    301.24/414.80 = 256.92/x
  3. Step 3: Cross multiply
    301.24x = 414.80 × 256.92
  4. Step 4: Simplify right side
    301.24x = 106,570.42
  5. Step 5: Solve for x
    x = 106,570.42/301.24
  6. Step 6: Final answer
    x = 353.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.