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Finding the Fourth Proportional to 591.74, 816.57 and 329.78

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Solution

The fourth proportional to 591.74, 816.57 and 329.78 is: 455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.74 : 816.57 = 329.78 : x
  2. Step 2: Convert to fraction form
    591.74/816.57 = 329.78/x
  3. Step 3: Cross multiply
    591.74x = 816.57 × 329.78
  4. Step 4: Simplify right side
    591.74x = 269,284.37
  5. Step 5: Solve for x
    x = 269,284.37/591.74
  6. Step 6: Final answer
    x = 455.08

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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.