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Finding the Fourth Proportional to 493.48, 743.96 and 467.02

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Solution

The fourth proportional to 493.48, 743.96 and 467.02 is: 704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 743.96 = 467.02 : x
  2. Step 2: Convert to fraction form
    493.48/743.96 = 467.02/x
  3. Step 3: Cross multiply
    493.48x = 743.96 × 467.02
  4. Step 4: Simplify right side
    493.48x = 347,444.20
  5. Step 5: Solve for x
    x = 347,444.20/493.48
  6. Step 6: Final answer
    x = 704.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.