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Finding the Fourth Proportional to 340.96, 470.64 and 299.56

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Solution

The fourth proportional to 340.96, 470.64 and 299.56 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.96 : 470.64 = 299.56 : x
  2. Step 2: Convert to fraction form
    340.96/470.64 = 299.56/x
  3. Step 3: Cross multiply
    340.96x = 470.64 × 299.56
  4. Step 4: Simplify right side
    340.96x = 140,984.92
  5. Step 5: Solve for x
    x = 140,984.92/340.96
  6. Step 6: Final answer
    x = 413.49

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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.