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Finding the Fourth Proportional to 509.43, 698.95 and 495.66

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Solution

The fourth proportional to 509.43, 698.95 and 495.66 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.43 : 698.95 = 495.66 : x
  2. Step 2: Convert to fraction form
    509.43/698.95 = 495.66/x
  3. Step 3: Cross multiply
    509.43x = 698.95 × 495.66
  4. Step 4: Simplify right side
    509.43x = 346,441.56
  5. Step 5: Solve for x
    x = 346,441.56/509.43
  6. Step 6: Final answer
    x = 680.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.