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Finding the Fourth Proportional to 392.46, 587.77 and 282.07

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Solution

The fourth proportional to 392.46, 587.77 and 282.07 is: 422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.46 : 587.77 = 282.07 : x
  2. Step 2: Convert to fraction form
    392.46/587.77 = 282.07/x
  3. Step 3: Cross multiply
    392.46x = 587.77 × 282.07
  4. Step 4: Simplify right side
    392.46x = 165,792.28
  5. Step 5: Solve for x
    x = 165,792.28/392.46
  6. Step 6: Final answer
    x = 422.44

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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.