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Finding the Fourth Proportional to 505.69, 698.25 and 328.78

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Solution

The fourth proportional to 505.69, 698.25 and 328.78 is: 453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 698.25 = 328.78 : x
  2. Step 2: Convert to fraction form
    505.69/698.25 = 328.78/x
  3. Step 3: Cross multiply
    505.69x = 698.25 × 328.78
  4. Step 4: Simplify right side
    505.69x = 229,571.93
  5. Step 5: Solve for x
    x = 229,571.93/505.69
  6. Step 6: Final answer
    x = 453.97

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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.