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Finding the Fourth Proportional to 301.94, 452.86 and 85.47

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Solution

The fourth proportional to 301.94, 452.86 and 85.47 is: 128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.94 : 452.86 = 85.47 : x
  2. Step 2: Convert to fraction form
    301.94/452.86 = 85.47/x
  3. Step 3: Cross multiply
    301.94x = 452.86 × 85.47
  4. Step 4: Simplify right side
    301.94x = 38,705.94
  5. Step 5: Solve for x
    x = 38,705.94/301.94
  6. Step 6: Final answer
    x = 128.19

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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.