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Finding the Fourth Proportional to 497.51, 746.05 and 223.78

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Solution

The fourth proportional to 497.51, 746.05 and 223.78 is: 335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.51 : 746.05 = 223.78 : x
  2. Step 2: Convert to fraction form
    497.51/746.05 = 223.78/x
  3. Step 3: Cross multiply
    497.51x = 746.05 × 223.78
  4. Step 4: Simplify right side
    497.51x = 166,947.34
  5. Step 5: Solve for x
    x = 166,947.34/497.51
  6. Step 6: Final answer
    x = 335.57

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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.