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Finding the Fourth Proportional to 541.14, 746.83 and 305.15

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Solution

The fourth proportional to 541.14, 746.83 and 305.15 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.14 : 746.83 = 305.15 : x
  2. Step 2: Convert to fraction form
    541.14/746.83 = 305.15/x
  3. Step 3: Cross multiply
    541.14x = 746.83 × 305.15
  4. Step 4: Simplify right side
    541.14x = 227,895.17
  5. Step 5: Solve for x
    x = 227,895.17/541.14
  6. Step 6: Final answer
    x = 421.14

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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.