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Finding the Fourth Proportional to 362.82, 541.05 and 354.18

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Solution

The fourth proportional to 362.82, 541.05 and 354.18 is: 528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.82 : 541.05 = 354.18 : x
  2. Step 2: Convert to fraction form
    362.82/541.05 = 354.18/x
  3. Step 3: Cross multiply
    362.82x = 541.05 × 354.18
  4. Step 4: Simplify right side
    362.82x = 191,629.09
  5. Step 5: Solve for x
    x = 191,629.09/362.82
  6. Step 6: Final answer
    x = 528.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.