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Finding the Fourth Proportional to 486.25, 670.83 and 320.54

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Solution

The fourth proportional to 486.25, 670.83 and 320.54 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.25 : 670.83 = 320.54 : x
  2. Step 2: Convert to fraction form
    486.25/670.83 = 320.54/x
  3. Step 3: Cross multiply
    486.25x = 670.83 × 320.54
  4. Step 4: Simplify right side
    486.25x = 215,026.25
  5. Step 5: Solve for x
    x = 215,026.25/486.25
  6. Step 6: Final answer
    x = 442.21

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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.