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Finding the Fourth Proportional to 591.60, 816.40 and 329.64

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Solution

The fourth proportional to 591.60, 816.40 and 329.64 is: 454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.60 : 816.40 = 329.64 : x
  2. Step 2: Convert to fraction form
    591.60/816.40 = 329.64/x
  3. Step 3: Cross multiply
    591.60x = 816.40 × 329.64
  4. Step 4: Simplify right side
    591.60x = 269,118.10
  5. Step 5: Solve for x
    x = 269,118.10/591.60
  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.