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Finding the Fourth Proportional to 498.43, 746.43 and 292.48

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Solution

The fourth proportional to 498.43, 746.43 and 292.48 is: 438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.43 : 746.43 = 292.48 : x
  2. Step 2: Convert to fraction form
    498.43/746.43 = 292.48/x
  3. Step 3: Cross multiply
    498.43x = 746.43 × 292.48
  4. Step 4: Simplify right side
    498.43x = 218,315.85
  5. Step 5: Solve for x
    x = 218,315.85/498.43
  6. Step 6: Final answer
    x = 438.01

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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.