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Finding the Fourth Proportional to 605.92, 908.64 and 259.28

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Solution

The fourth proportional to 605.92, 908.64 and 259.28 is: 388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 908.64 = 259.28 : x
  2. Step 2: Convert to fraction form
    605.92/908.64 = 259.28/x
  3. Step 3: Cross multiply
    605.92x = 908.64 × 259.28
  4. Step 4: Simplify right side
    605.92x = 235,592.18
  5. Step 5: Solve for x
    x = 235,592.18/605.92
  6. Step 6: Final answer
    x = 388.82

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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.