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Finding the Fourth Proportional to 440.72, 608.17 and 266.03

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Solution

The fourth proportional to 440.72, 608.17 and 266.03 is: 367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.72 : 608.17 = 266.03 : x
  2. Step 2: Convert to fraction form
    440.72/608.17 = 266.03/x
  3. Step 3: Cross multiply
    440.72x = 608.17 × 266.03
  4. Step 4: Simplify right side
    440.72x = 161,787.76
  5. Step 5: Solve for x
    x = 161,787.76/440.72
  6. Step 6: Final answer
    x = 367.10

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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.