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Finding the Fourth Proportional to 541.42, 747.12 and 305.32

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Solution

The fourth proportional to 541.42, 747.12 and 305.32 is: 421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.42 : 747.12 = 305.32 : x
  2. Step 2: Convert to fraction form
    541.42/747.12 = 305.32/x
  3. Step 3: Cross multiply
    541.42x = 747.12 × 305.32
  4. Step 4: Simplify right side
    541.42x = 228,110.68
  5. Step 5: Solve for x
    x = 228,110.68/541.42
  6. Step 6: Final answer
    x = 421.32

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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.