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Finding the Fourth Proportional to 495.74, 743.66 and 207.20

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Solution

The fourth proportional to 495.74, 743.66 and 207.20 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 743.66 = 207.20 : x
  2. Step 2: Convert to fraction form
    495.74/743.66 = 207.20/x
  3. Step 3: Cross multiply
    495.74x = 743.66 × 207.20
  4. Step 4: Simplify right side
    495.74x = 154,086.35
  5. Step 5: Solve for x
    x = 154,086.35/495.74
  6. Step 6: Final answer
    x = 310.82

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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.