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Finding the Fourth Proportional to 591.12, 815.70 and 329.10

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Solution

The fourth proportional to 591.12, 815.70 and 329.10 is: 454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.12 : 815.70 = 329.10 : x
  2. Step 2: Convert to fraction form
    591.12/815.70 = 329.10/x
  3. Step 3: Cross multiply
    591.12x = 815.70 × 329.10
  4. Step 4: Simplify right side
    591.12x = 268,446.87
  5. Step 5: Solve for x
    x = 268,446.87/591.12
  6. Step 6: Final answer
    x = 454.13

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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.