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Finding the Fourth Proportional to 380.86, 572.41 and 316.27

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Solution

The fourth proportional to 380.86, 572.41 and 316.27 is: 475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.86 : 572.41 = 316.27 : x
  2. Step 2: Convert to fraction form
    380.86/572.41 = 316.27/x
  3. Step 3: Cross multiply
    380.86x = 572.41 × 316.27
  4. Step 4: Simplify right side
    380.86x = 181,036.11
  5. Step 5: Solve for x
    x = 181,036.11/380.86
  6. Step 6: Final answer
    x = 475.34

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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.