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Finding the Fourth Proportional to 543.05, 749.15 and 321.86

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Solution

The fourth proportional to 543.05, 749.15 and 321.86 is: 444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.05 : 749.15 = 321.86 : x
  2. Step 2: Convert to fraction form
    543.05/749.15 = 321.86/x
  3. Step 3: Cross multiply
    543.05x = 749.15 × 321.86
  4. Step 4: Simplify right side
    543.05x = 241,116.06
  5. Step 5: Solve for x
    x = 241,116.06/543.05
  6. Step 6: Final answer
    x = 444.01

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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.