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Finding the Fourth Proportional to 591.80, 816.78 and 359.04

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Solution

The fourth proportional to 591.80, 816.78 and 359.04 is: 495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.80 : 816.78 = 359.04 : x
  2. Step 2: Convert to fraction form
    591.80/816.78 = 359.04/x
  3. Step 3: Cross multiply
    591.80x = 816.78 × 359.04
  4. Step 4: Simplify right side
    591.80x = 293,256.69
  5. Step 5: Solve for x
    x = 293,256.69/591.80
  6. Step 6: Final answer
    x = 495.53

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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.