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Finding the Fourth Proportional to 468.42, 646.50 and 321.39

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Solution

The fourth proportional to 468.42, 646.50 and 321.39 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.42 : 646.50 = 321.39 : x
  2. Step 2: Convert to fraction form
    468.42/646.50 = 321.39/x
  3. Step 3: Cross multiply
    468.42x = 646.50 × 321.39
  4. Step 4: Simplify right side
    468.42x = 207,778.64
  5. Step 5: Solve for x
    x = 207,778.64/468.42
  6. Step 6: Final answer
    x = 443.57

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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.