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Finding the Fourth Proportional to 392.93, 586.19 and 361.19

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Solution

The fourth proportional to 392.93, 586.19 and 361.19 is: 538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.93 : 586.19 = 361.19 : x
  2. Step 2: Convert to fraction form
    392.93/586.19 = 361.19/x
  3. Step 3: Cross multiply
    392.93x = 586.19 × 361.19
  4. Step 4: Simplify right side
    392.93x = 211,721.23
  5. Step 5: Solve for x
    x = 211,721.23/392.93
  6. Step 6: Final answer
    x = 538.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.