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Finding the Fourth Proportional to 591.70, 816.47 and 329.67

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Solution

The fourth proportional to 591.70, 816.47 and 329.67 is: 454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.70 : 816.47 = 329.67 : x
  2. Step 2: Convert to fraction form
    591.70/816.47 = 329.67/x
  3. Step 3: Cross multiply
    591.70x = 816.47 × 329.67
  4. Step 4: Simplify right side
    591.70x = 269,165.66
  5. Step 5: Solve for x
    x = 269,165.66/591.70
  6. Step 6: Final answer
    x = 454.90

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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.