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Finding the Fourth Proportional to 493.20, 680.52 and 345.60

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Solution

The fourth proportional to 493.20, 680.52 and 345.60 is: 476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 680.52 = 345.60 : x
  2. Step 2: Convert to fraction form
    493.20/680.52 = 345.60/x
  3. Step 3: Cross multiply
    493.20x = 680.52 × 345.60
  4. Step 4: Simplify right side
    493.20x = 235,187.71
  5. Step 5: Solve for x
    x = 235,187.71/493.20
  6. Step 6: Final answer
    x = 476.86

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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.