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Finding the Fourth Proportional to 486.31, 670.86 and 328.95

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Solution

The fourth proportional to 486.31, 670.86 and 328.95 is: 453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.31 : 670.86 = 328.95 : x
  2. Step 2: Convert to fraction form
    486.31/670.86 = 328.95/x
  3. Step 3: Cross multiply
    486.31x = 670.86 × 328.95
  4. Step 4: Simplify right side
    486.31x = 220,674.40
  5. Step 5: Solve for x
    x = 220,674.40/486.31
  6. Step 6: Final answer
    x = 453.78

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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.