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Finding the Fourth Proportional to 392.80, 591.67 and 357.16

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Solution

The fourth proportional to 392.80, 591.67 and 357.16 is: 537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 591.67 = 357.16 : x
  2. Step 2: Convert to fraction form
    392.80/591.67 = 357.16/x
  3. Step 3: Cross multiply
    392.80x = 591.67 × 357.16
  4. Step 4: Simplify right side
    392.80x = 211,320.86
  5. Step 5: Solve for x
    x = 211,320.86/392.80
  6. Step 6: Final answer
    x = 537.99

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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.