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Finding the Fourth Proportional to 498.26, 748.22 and 446.28

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Solution

The fourth proportional to 498.26, 748.22 and 446.28 is: 670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.26 : 748.22 = 446.28 : x
  2. Step 2: Convert to fraction form
    498.26/748.22 = 446.28/x
  3. Step 3: Cross multiply
    498.26x = 748.22 × 446.28
  4. Step 4: Simplify right side
    498.26x = 333,913.39
  5. Step 5: Solve for x
    x = 333,913.39/498.26
  6. Step 6: Final answer
    x = 670.17

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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.