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Finding the Fourth Proportional to 498.70, 746.23 and 293.37

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Solution

The fourth proportional to 498.70, 746.23 and 293.37 is: 438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.70 : 746.23 = 293.37 : x
  2. Step 2: Convert to fraction form
    498.70/746.23 = 293.37/x
  3. Step 3: Cross multiply
    498.70x = 746.23 × 293.37
  4. Step 4: Simplify right side
    498.70x = 218,920.00
  5. Step 5: Solve for x
    x = 218,920.00/498.70
  6. Step 6: Final answer
    x = 438.98

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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.