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Finding the Fourth Proportional to 497.23, 746.04 and 223.13

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Solution

The fourth proportional to 497.23, 746.04 and 223.13 is: 334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 746.04 = 223.13 : x
  2. Step 2: Convert to fraction form
    497.23/746.04 = 223.13/x
  3. Step 3: Cross multiply
    497.23x = 746.04 × 223.13
  4. Step 4: Simplify right side
    497.23x = 166,463.91
  5. Step 5: Solve for x
    x = 166,463.91/497.23
  6. Step 6: Final answer
    x = 334.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.