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Finding the Fourth Proportional to 451.64, 677.70 and 191.57

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Solution

The fourth proportional to 451.64, 677.70 and 191.57 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.64 : 677.70 = 191.57 : x
  2. Step 2: Convert to fraction form
    451.64/677.70 = 191.57/x
  3. Step 3: Cross multiply
    451.64x = 677.70 × 191.57
  4. Step 4: Simplify right side
    451.64x = 129,823.60
  5. Step 5: Solve for x
    x = 129,823.60/451.64
  6. Step 6: Final answer
    x = 287.45

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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.