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Finding the Fourth Proportional to 316.37, 474.55 and 85.28

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Solution

The fourth proportional to 316.37, 474.55 and 85.28 is: 127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.37 : 474.55 = 85.28 : x
  2. Step 2: Convert to fraction form
    316.37/474.55 = 85.28/x
  3. Step 3: Cross multiply
    316.37x = 474.55 × 85.28
  4. Step 4: Simplify right side
    316.37x = 40,467.04
  5. Step 5: Solve for x
    x = 40,467.04/316.37
  6. Step 6: Final answer
    x = 127.91

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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.