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Finding the Fourth Proportional to 392.12, 586.42 and 349.06

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Solution

The fourth proportional to 392.12, 586.42 and 349.06 is: 522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.12 : 586.42 = 349.06 : x
  2. Step 2: Convert to fraction form
    392.12/586.42 = 349.06/x
  3. Step 3: Cross multiply
    392.12x = 586.42 × 349.06
  4. Step 4: Simplify right side
    392.12x = 204,695.77
  5. Step 5: Solve for x
    x = 204,695.77/392.12
  6. Step 6: Final answer
    x = 522.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.