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Finding the Fourth Proportional to 297.05, 410.04 and 265.91

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Solution

The fourth proportional to 297.05, 410.04 and 265.91 is: 367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.05 : 410.04 = 265.91 : x
  2. Step 2: Convert to fraction form
    297.05/410.04 = 265.91/x
  3. Step 3: Cross multiply
    297.05x = 410.04 × 265.91
  4. Step 4: Simplify right side
    297.05x = 109,034.99
  5. Step 5: Solve for x
    x = 109,034.99/297.05
  6. Step 6: Final answer
    x = 367.06

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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.