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Finding the Fourth Proportional to 500.43, 690.69 and 301.31

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Solution

The fourth proportional to 500.43, 690.69 and 301.31 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.43 : 690.69 = 301.31 : x
  2. Step 2: Convert to fraction form
    500.43/690.69 = 301.31/x
  3. Step 3: Cross multiply
    500.43x = 690.69 × 301.31
  4. Step 4: Simplify right side
    500.43x = 208,108.35
  5. Step 5: Solve for x
    x = 208,108.35/500.43
  6. Step 6: Final answer
    x = 415.86

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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.