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Finding the Fourth Proportional to 392.12, 588.37 and 277.30

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Solution

The fourth proportional to 392.12, 588.37 and 277.30 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.12 : 588.37 = 277.30 : x
  2. Step 2: Convert to fraction form
    392.12/588.37 = 277.30/x
  3. Step 3: Cross multiply
    392.12x = 588.37 × 277.30
  4. Step 4: Simplify right side
    392.12x = 163,152.32
  5. Step 5: Solve for x
    x = 163,152.32/392.12
  6. Step 6: Final answer
    x = 416.08

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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.