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Finding the Fourth Proportional to 378.60, 568.68 and 311.08

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Solution

The fourth proportional to 378.60, 568.68 and 311.08 is: 467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 568.68 = 311.08 : x
  2. Step 2: Convert to fraction form
    378.60/568.68 = 311.08/x
  3. Step 3: Cross multiply
    378.60x = 568.68 × 311.08
  4. Step 4: Simplify right side
    378.60x = 176,904.97
  5. Step 5: Solve for x
    x = 176,904.97/378.60
  6. Step 6: Final answer
    x = 467.26

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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.