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Finding the Fourth Proportional to 479.52, 719.34 and 205.74

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Solution

The fourth proportional to 479.52, 719.34 and 205.74 is: 308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.52 : 719.34 = 205.74 : x
  2. Step 2: Convert to fraction form
    479.52/719.34 = 205.74/x
  3. Step 3: Cross multiply
    479.52x = 719.34 × 205.74
  4. Step 4: Simplify right side
    479.52x = 147,997.01
  5. Step 5: Solve for x
    x = 147,997.01/479.52
  6. Step 6: Final answer
    x = 308.64

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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.