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Finding the Fourth Proportional to 301.02, 414.54 and 265.92

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Solution

The fourth proportional to 301.02, 414.54 and 265.92 is: 366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 414.54 = 265.92 : x
  2. Step 2: Convert to fraction form
    301.02/414.54 = 265.92/x
  3. Step 3: Cross multiply
    301.02x = 414.54 × 265.92
  4. Step 4: Simplify right side
    301.02x = 110,234.48
  5. Step 5: Solve for x
    x = 110,234.48/301.02
  6. Step 6: Final answer
    x = 366.20

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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.