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Finding the Fourth Proportional to 540.63, 746.08 and 354.44

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Solution

The fourth proportional to 540.63, 746.08 and 354.44 is: 489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.63 : 746.08 = 354.44 : x
  2. Step 2: Convert to fraction form
    540.63/746.08 = 354.44/x
  3. Step 3: Cross multiply
    540.63x = 746.08 × 354.44
  4. Step 4: Simplify right side
    540.63x = 264,441.57
  5. Step 5: Solve for x
    x = 264,441.57/540.63
  6. Step 6: Final answer
    x = 489.14

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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.