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Finding the Fourth Proportional to 296.02, 445.67 and 266.26

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Solution

The fourth proportional to 296.02, 445.67 and 266.26 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 445.67 = 266.26 : x
  2. Step 2: Convert to fraction form
    296.02/445.67 = 266.26/x
  3. Step 3: Cross multiply
    296.02x = 445.67 × 266.26
  4. Step 4: Simplify right side
    296.02x = 118,664.09
  5. Step 5: Solve for x
    x = 118,664.09/296.02
  6. Step 6: Final answer
    x = 400.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.