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Finding the Fourth Proportional to 541.41, 747.20 and 305.45

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Solution

The fourth proportional to 541.41, 747.20 and 305.45 is: 421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.41 : 747.20 = 305.45 : x
  2. Step 2: Convert to fraction form
    541.41/747.20 = 305.45/x
  3. Step 3: Cross multiply
    541.41x = 747.20 × 305.45
  4. Step 4: Simplify right side
    541.41x = 228,229.11
  5. Step 5: Solve for x
    x = 228,229.11/541.41
  6. Step 6: Final answer
    x = 421.55

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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.