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Finding the Fourth Proportional to 591.10, 815.67 and 329.06

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Solution

The fourth proportional to 591.10, 815.67 and 329.06 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.10 : 815.67 = 329.06 : x
  2. Step 2: Convert to fraction form
    591.10/815.67 = 329.06/x
  3. Step 3: Cross multiply
    591.10x = 815.67 × 329.06
  4. Step 4: Simplify right side
    591.10x = 268,406.41
  5. Step 5: Solve for x
    x = 268,406.41/591.10
  6. Step 6: Final answer
    x = 454.08

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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.