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Finding the Fourth Proportional to 659.01, 908.69 and 449.31

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Solution

The fourth proportional to 659.01, 908.69 and 449.31 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.01 : 908.69 = 449.31 : x
  2. Step 2: Convert to fraction form
    659.01/908.69 = 449.31/x
  3. Step 3: Cross multiply
    659.01x = 908.69 × 449.31
  4. Step 4: Simplify right side
    659.01x = 408,280.83
  5. Step 5: Solve for x
    x = 408,280.83/659.01
  6. Step 6: Final answer
    x = 619.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.