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Finding the Fourth Proportional to 468.92, 647.26 and 321.98

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Solution

The fourth proportional to 468.92, 647.26 and 321.98 is: 444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.92 : 647.26 = 321.98 : x
  2. Step 2: Convert to fraction form
    468.92/647.26 = 321.98/x
  3. Step 3: Cross multiply
    468.92x = 647.26 × 321.98
  4. Step 4: Simplify right side
    468.92x = 208,404.77
  5. Step 5: Solve for x
    x = 208,404.77/468.92
  6. Step 6: Final answer
    x = 444.44

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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.