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Finding the Fourth Proportional to 543.08, 749.40 and 321.99

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Solution

The fourth proportional to 543.08, 749.40 and 321.99 is: 444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.08 : 749.40 = 321.99 : x
  2. Step 2: Convert to fraction form
    543.08/749.40 = 321.99/x
  3. Step 3: Cross multiply
    543.08x = 749.40 × 321.99
  4. Step 4: Simplify right side
    543.08x = 241,299.31
  5. Step 5: Solve for x
    x = 241,299.31/543.08
  6. Step 6: Final answer
    x = 444.32

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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.