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Finding the Fourth Proportional to 591.09, 815.64 and 329.10

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Solution

The fourth proportional to 591.09, 815.64 and 329.10 is: 454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 815.64 = 329.10 : x
  2. Step 2: Convert to fraction form
    591.09/815.64 = 329.10/x
  3. Step 3: Cross multiply
    591.09x = 815.64 × 329.10
  4. Step 4: Simplify right side
    591.09x = 268,427.12
  5. Step 5: Solve for x
    x = 268,427.12/591.09
  6. Step 6: Final answer
    x = 454.12

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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.