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Finding the Fourth Proportional to 591.10, 815.70 and 329.12

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Solution

The fourth proportional to 591.10, 815.70 and 329.12 is: 454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.10 : 815.70 = 329.12 : x
  2. Step 2: Convert to fraction form
    591.10/815.70 = 329.12/x
  3. Step 3: Cross multiply
    591.10x = 815.70 × 329.12
  4. Step 4: Simplify right side
    591.10x = 268,463.18
  5. Step 5: Solve for x
    x = 268,463.18/591.10
  6. Step 6: Final answer
    x = 454.18

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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.