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Finding the Fourth Proportional to 542.86, 749.09 and 321.77

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Solution

The fourth proportional to 542.86, 749.09 and 321.77 is: 444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.86 : 749.09 = 321.77 : x
  2. Step 2: Convert to fraction form
    542.86/749.09 = 321.77/x
  3. Step 3: Cross multiply
    542.86x = 749.09 × 321.77
  4. Step 4: Simplify right side
    542.86x = 241,037.37
  5. Step 5: Solve for x
    x = 241,037.37/542.86
  6. Step 6: Final answer
    x = 444.02

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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.