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Finding the Fourth Proportional to 497.37, 743.25 and 406.17

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Solution

The fourth proportional to 497.37, 743.25 and 406.17 is: 606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.37 : 743.25 = 406.17 : x
  2. Step 2: Convert to fraction form
    497.37/743.25 = 406.17/x
  3. Step 3: Cross multiply
    497.37x = 743.25 × 406.17
  4. Step 4: Simplify right side
    497.37x = 301,885.85
  5. Step 5: Solve for x
    x = 301,885.85/497.37
  6. Step 6: Final answer
    x = 606.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.