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Finding the Fourth Proportional to 468.06, 646.47 and 320.44

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Solution

The fourth proportional to 468.06, 646.47 and 320.44 is: 442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.06 : 646.47 = 320.44 : x
  2. Step 2: Convert to fraction form
    468.06/646.47 = 320.44/x
  3. Step 3: Cross multiply
    468.06x = 646.47 × 320.44
  4. Step 4: Simplify right side
    468.06x = 207,154.85
  5. Step 5: Solve for x
    x = 207,154.85/468.06
  6. Step 6: Final answer
    x = 442.58

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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.