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Finding the Fourth Proportional to 486.60, 671.72 and 320.82

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Solution

The fourth proportional to 486.60, 671.72 and 320.82 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.60 : 671.72 = 320.82 : x
  2. Step 2: Convert to fraction form
    486.60/671.72 = 320.82/x
  3. Step 3: Cross multiply
    486.60x = 671.72 × 320.82
  4. Step 4: Simplify right side
    486.60x = 215,501.21
  5. Step 5: Solve for x
    x = 215,501.21/486.60
  6. Step 6: Final answer
    x = 442.87

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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.