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Finding the Fourth Proportional to 541.02, 747.03 and 364.13

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Solution

The fourth proportional to 541.02, 747.03 and 364.13 is: 502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.02 : 747.03 = 364.13 : x
  2. Step 2: Convert to fraction form
    541.02/747.03 = 364.13/x
  3. Step 3: Cross multiply
    541.02x = 747.03 × 364.13
  4. Step 4: Simplify right side
    541.02x = 272,016.03
  5. Step 5: Solve for x
    x = 272,016.03/541.02
  6. Step 6: Final answer
    x = 502.78

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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.