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Finding the Fourth Proportional to 591.19, 816.01 and 355.21

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Solution

The fourth proportional to 591.19, 816.01 and 355.21 is: 490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.19 : 816.01 = 355.21 : x
  2. Step 2: Convert to fraction form
    591.19/816.01 = 355.21/x
  3. Step 3: Cross multiply
    591.19x = 816.01 × 355.21
  4. Step 4: Simplify right side
    591.19x = 289,853.53
  5. Step 5: Solve for x
    x = 289,853.53/591.19
  6. Step 6: Final answer
    x = 490.29

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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.