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Finding the Fourth Proportional to 394.58, 544.67 and 353.06

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Solution

The fourth proportional to 394.58, 544.67 and 353.06 is: 487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.58 : 544.67 = 353.06 : x
  2. Step 2: Convert to fraction form
    394.58/544.67 = 353.06/x
  3. Step 3: Cross multiply
    394.58x = 544.67 × 353.06
  4. Step 4: Simplify right side
    394.58x = 192,296.70
  5. Step 5: Solve for x
    x = 192,296.70/394.58
  6. Step 6: Final answer
    x = 487.35

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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.