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Finding the Fourth Proportional to 391.58, 537.40 and 354.66

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Solution

The fourth proportional to 391.58, 537.40 and 354.66 is: 486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.58 : 537.40 = 354.66 : x
  2. Step 2: Convert to fraction form
    391.58/537.40 = 354.66/x
  3. Step 3: Cross multiply
    391.58x = 537.40 × 354.66
  4. Step 4: Simplify right side
    391.58x = 190,594.28
  5. Step 5: Solve for x
    x = 190,594.28/391.58
  6. Step 6: Final answer
    x = 486.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.