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Finding the Fourth Proportional to 297.66, 410.93 and 266.50

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Solution

The fourth proportional to 297.66, 410.93 and 266.50 is: 367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 410.93 = 266.50 : x
  2. Step 2: Convert to fraction form
    297.66/410.93 = 266.50/x
  3. Step 3: Cross multiply
    297.66x = 410.93 × 266.50
  4. Step 4: Simplify right side
    297.66x = 109,512.85
  5. Step 5: Solve for x
    x = 109,512.85/297.66
  6. Step 6: Final answer
    x = 367.91

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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.