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Finding the Fourth Proportional to 395.96, 596.53 and 310.84

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Solution

The fourth proportional to 395.96, 596.53 and 310.84 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 596.53 = 310.84 : x
  2. Step 2: Convert to fraction form
    395.96/596.53 = 310.84/x
  3. Step 3: Cross multiply
    395.96x = 596.53 × 310.84
  4. Step 4: Simplify right side
    395.96x = 185,425.39
  5. Step 5: Solve for x
    x = 185,425.39/395.96
  6. Step 6: Final answer
    x = 468.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.