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Finding the Fourth Proportional to 541.32, 746.40 and 394.02

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Solution

The fourth proportional to 541.32, 746.40 and 394.02 is: 543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.32 : 746.40 = 394.02 : x
  2. Step 2: Convert to fraction form
    541.32/746.40 = 394.02/x
  3. Step 3: Cross multiply
    541.32x = 746.40 × 394.02
  4. Step 4: Simplify right side
    541.32x = 294,096.53
  5. Step 5: Solve for x
    x = 294,096.53/541.32
  6. Step 6: Final answer
    x = 543.30

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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.