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Finding the Fourth Proportional to 392.87, 591.61 and 290.88

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Solution

The fourth proportional to 392.87, 591.61 and 290.88 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.87 : 591.61 = 290.88 : x
  2. Step 2: Convert to fraction form
    392.87/591.61 = 290.88/x
  3. Step 3: Cross multiply
    392.87x = 591.61 × 290.88
  4. Step 4: Simplify right side
    392.87x = 172,087.52
  5. Step 5: Solve for x
    x = 172,087.52/392.87
  6. Step 6: Final answer
    x = 438.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.