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Finding the Fourth Proportional to 591.07, 815.67 and 329.13

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Solution

The fourth proportional to 591.07, 815.67 and 329.13 is: 454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.07 : 815.67 = 329.13 : x
  2. Step 2: Convert to fraction form
    591.07/815.67 = 329.13/x
  3. Step 3: Cross multiply
    591.07x = 815.67 × 329.13
  4. Step 4: Simplify right side
    591.07x = 268,461.47
  5. Step 5: Solve for x
    x = 268,461.47/591.07
  6. Step 6: Final answer
    x = 454.20

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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.