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Finding the Fourth Proportional to 540.85, 746.20 and 316.69

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Solution

The fourth proportional to 540.85, 746.20 and 316.69 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.85 : 746.20 = 316.69 : x
  2. Step 2: Convert to fraction form
    540.85/746.20 = 316.69/x
  3. Step 3: Cross multiply
    540.85x = 746.20 × 316.69
  4. Step 4: Simplify right side
    540.85x = 236,314.08
  5. Step 5: Solve for x
    x = 236,314.08/540.85
  6. Step 6: Final answer
    x = 436.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.