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Finding the Fourth Proportional to 543.01, 749.31 and 306.94

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Solution

The fourth proportional to 543.01, 749.31 and 306.94 is: 423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.01 : 749.31 = 306.94 : x
  2. Step 2: Convert to fraction form
    543.01/749.31 = 306.94/x
  3. Step 3: Cross multiply
    543.01x = 749.31 × 306.94
  4. Step 4: Simplify right side
    543.01x = 229,993.21
  5. Step 5: Solve for x
    x = 229,993.21/543.01
  6. Step 6: Final answer
    x = 423.55

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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.