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Finding the Fourth Proportional to 383.67, 527.51 and 344.05

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Solution

The fourth proportional to 383.67, 527.51 and 344.05 is: 473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.67 : 527.51 = 344.05 : x
  2. Step 2: Convert to fraction form
    383.67/527.51 = 344.05/x
  3. Step 3: Cross multiply
    383.67x = 527.51 × 344.05
  4. Step 4: Simplify right side
    383.67x = 181,489.36
  5. Step 5: Solve for x
    x = 181,489.36/383.67
  6. Step 6: Final answer
    x = 473.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.