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Finding the Fourth Proportional to 591.92, 816.80 and 359

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Solution

The fourth proportional to 591.92, 816.80 and 359 is: 495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.92 : 816.80 = 359 : x
  2. Step 2: Convert to fraction form
    591.92/816.80 = 359/x
  3. Step 3: Cross multiply
    591.92x = 816.80 × 359
  4. Step 4: Simplify right side
    591.92x = 293,231.20
  5. Step 5: Solve for x
    x = 293,231.20/591.92
  6. Step 6: Final answer
    x = 495.39

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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.