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Finding the Fourth Proportional to 591.35, 816.02 and 355.34

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Solution

The fourth proportional to 591.35, 816.02 and 355.34 is: 490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.35 : 816.02 = 355.34 : x
  2. Step 2: Convert to fraction form
    591.35/816.02 = 355.34/x
  3. Step 3: Cross multiply
    591.35x = 816.02 × 355.34
  4. Step 4: Simplify right side
    591.35x = 289,963.55
  5. Step 5: Solve for x
    x = 289,963.55/591.35
  6. Step 6: Final answer
    x = 490.34

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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.