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Finding the Fourth Proportional to 541.96, 747.98 and 306

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Solution

The fourth proportional to 541.96, 747.98 and 306 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 747.98 = 306 : x
  2. Step 2: Convert to fraction form
    541.96/747.98 = 306/x
  3. Step 3: Cross multiply
    541.96x = 747.98 × 306
  4. Step 4: Simplify right side
    541.96x = 228,883.22
  5. Step 5: Solve for x
    x = 228,883.22/541.96
  6. Step 6: Final answer
    x = 422.33

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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.