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Finding the Fourth Proportional to 540.18, 746.01 and 374.67

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Solution

The fourth proportional to 540.18, 746.01 and 374.67 is: 517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.18 : 746.01 = 374.67 : x
  2. Step 2: Convert to fraction form
    540.18/746.01 = 374.67/x
  3. Step 3: Cross multiply
    540.18x = 746.01 × 374.67
  4. Step 4: Simplify right side
    540.18x = 279,507.57
  5. Step 5: Solve for x
    x = 279,507.57/540.18
  6. Step 6: Final answer
    x = 517.43

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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.