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Finding the Fourth Proportional to 605.09, 908.32 and 565.45

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Solution

The fourth proportional to 605.09, 908.32 and 565.45 is: 848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.09 : 908.32 = 565.45 : x
  2. Step 2: Convert to fraction form
    605.09/908.32 = 565.45/x
  3. Step 3: Cross multiply
    605.09x = 908.32 × 565.45
  4. Step 4: Simplify right side
    605.09x = 513,609.54
  5. Step 5: Solve for x
    x = 513,609.54/605.09
  6. Step 6: Final answer
    x = 848.82

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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.