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Finding the Fourth Proportional to 378.27, 568.01 and 310.23

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Solution

The fourth proportional to 378.27, 568.01 and 310.23 is: 465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 568.01 = 310.23 : x
  2. Step 2: Convert to fraction form
    378.27/568.01 = 310.23/x
  3. Step 3: Cross multiply
    378.27x = 568.01 × 310.23
  4. Step 4: Simplify right side
    378.27x = 176,214.52
  5. Step 5: Solve for x
    x = 176,214.52/378.27
  6. Step 6: Final answer
    x = 465.84

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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.