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Finding the Fourth Proportional to 541.94, 747.81 and 305.87

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Solution

The fourth proportional to 541.94, 747.81 and 305.87 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 747.81 = 305.87 : x
  2. Step 2: Convert to fraction form
    541.94/747.81 = 305.87/x
  3. Step 3: Cross multiply
    541.94x = 747.81 × 305.87
  4. Step 4: Simplify right side
    541.94x = 228,728.91
  5. Step 5: Solve for x
    x = 228,728.91/541.94
  6. Step 6: Final answer
    x = 422.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.