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Finding the Fourth Proportional to 468.82, 646.36 and 321.20

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Solution

The fourth proportional to 468.82, 646.36 and 321.20 is: 442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.82 : 646.36 = 321.20 : x
  2. Step 2: Convert to fraction form
    468.82/646.36 = 321.20/x
  3. Step 3: Cross multiply
    468.82x = 646.36 × 321.20
  4. Step 4: Simplify right side
    468.82x = 207,610.83
  5. Step 5: Solve for x
    x = 207,610.83/468.82
  6. Step 6: Final answer
    x = 442.84

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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.