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Finding the Fourth Proportional to 468.52, 646.88 and 321.12

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Solution

The fourth proportional to 468.52, 646.88 and 321.12 is: 443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 646.88 = 321.12 : x
  2. Step 2: Convert to fraction form
    468.52/646.88 = 321.12/x
  3. Step 3: Cross multiply
    468.52x = 646.88 × 321.12
  4. Step 4: Simplify right side
    468.52x = 207,726.11
  5. Step 5: Solve for x
    x = 207,726.11/468.52
  6. Step 6: Final answer
    x = 443.37

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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.