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Finding the Fourth Proportional to 498.40, 746.37 and 281.56

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Solution

The fourth proportional to 498.40, 746.37 and 281.56 is: 421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 746.37 = 281.56 : x
  2. Step 2: Convert to fraction form
    498.40/746.37 = 281.56/x
  3. Step 3: Cross multiply
    498.40x = 746.37 × 281.56
  4. Step 4: Simplify right side
    498.40x = 210,147.94
  5. Step 5: Solve for x
    x = 210,147.94/498.40
  6. Step 6: Final answer
    x = 421.65

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Why These Related Problems?

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