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Finding the Fourth Proportional to 500.38, 689.65 and 334.33

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Solution

The fourth proportional to 500.38, 689.65 and 334.33 is: 460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 689.65 = 334.33 : x
  2. Step 2: Convert to fraction form
    500.38/689.65 = 334.33/x
  3. Step 3: Cross multiply
    500.38x = 689.65 × 334.33
  4. Step 4: Simplify right side
    500.38x = 230,570.68
  5. Step 5: Solve for x
    x = 230,570.68/500.38
  6. Step 6: Final answer
    x = 460.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.