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Finding the Fourth Proportional to 591.06, 815.69 and 329.07

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Solution

The fourth proportional to 591.06, 815.69 and 329.07 is: 454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.06 : 815.69 = 329.07 : x
  2. Step 2: Convert to fraction form
    591.06/815.69 = 329.07/x
  3. Step 3: Cross multiply
    591.06x = 815.69 × 329.07
  4. Step 4: Simplify right side
    591.06x = 268,413.38
  5. Step 5: Solve for x
    x = 268,413.38/591.06
  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.