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Finding the Fourth Proportional to 498.64, 748.01 and 206.26

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Solution

The fourth proportional to 498.64, 748.01 and 206.26 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.64 : 748.01 = 206.26 : x
  2. Step 2: Convert to fraction form
    498.64/748.01 = 206.26/x
  3. Step 3: Cross multiply
    498.64x = 748.01 × 206.26
  4. Step 4: Simplify right side
    498.64x = 154,283.51
  5. Step 5: Solve for x
    x = 154,283.51/498.64
  6. Step 6: Final answer
    x = 309.41

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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.