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Finding the Fourth Proportional to 316.86, 472.11 and 302.88

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Solution

The fourth proportional to 316.86, 472.11 and 302.88 is: 451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.86 : 472.11 = 302.88 : x
  2. Step 2: Convert to fraction form
    316.86/472.11 = 302.88/x
  3. Step 3: Cross multiply
    316.86x = 472.11 × 302.88
  4. Step 4: Simplify right side
    316.86x = 142,992.68
  5. Step 5: Solve for x
    x = 142,992.68/316.86
  6. Step 6: Final answer
    x = 451.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.