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Finding the Fourth Proportional to 468.84, 646.77 and 321.24

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Solution

The fourth proportional to 468.84, 646.77 and 321.24 is: 443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 646.77 = 321.24 : x
  2. Step 2: Convert to fraction form
    468.84/646.77 = 321.24/x
  3. Step 3: Cross multiply
    468.84x = 646.77 × 321.24
  4. Step 4: Simplify right side
    468.84x = 207,768.39
  5. Step 5: Solve for x
    x = 207,768.39/468.84
  6. Step 6: Final answer
    x = 443.15

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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.