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Finding the Fourth Proportional to 500.03, 689.86 and 334.34

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Solution

The fourth proportional to 500.03, 689.86 and 334.34 is: 461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.03 : 689.86 = 334.34 : x
  2. Step 2: Convert to fraction form
    500.03/689.86 = 334.34/x
  3. Step 3: Cross multiply
    500.03x = 689.86 × 334.34
  4. Step 4: Simplify right side
    500.03x = 230,648.68
  5. Step 5: Solve for x
    x = 230,648.68/500.03
  6. Step 6: Final answer
    x = 461.27

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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.