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Finding the Fourth Proportional to 493.32, 680.06 and 345.48

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Solution

The fourth proportional to 493.32, 680.06 and 345.48 is: 476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.32 : 680.06 = 345.48 : x
  2. Step 2: Convert to fraction form
    493.32/680.06 = 345.48/x
  3. Step 3: Cross multiply
    493.32x = 680.06 × 345.48
  4. Step 4: Simplify right side
    493.32x = 234,947.13
  5. Step 5: Solve for x
    x = 234,947.13/493.32
  6. Step 6: Final answer
    x = 476.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.