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Finding the Fourth Proportional to 614.05, 920.67 and 288.97

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Solution

The fourth proportional to 614.05, 920.67 and 288.97 is: 433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.05 : 920.67 = 288.97 : x
  2. Step 2: Convert to fraction form
    614.05/920.67 = 288.97/x
  3. Step 3: Cross multiply
    614.05x = 920.67 × 288.97
  4. Step 4: Simplify right side
    614.05x = 266,046.01
  5. Step 5: Solve for x
    x = 266,046.01/614.05
  6. Step 6: Final answer
    x = 433.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.