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Finding the Fourth Proportional to 479.29, 718.71 and 205.24

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Solution

The fourth proportional to 479.29, 718.71 and 205.24 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.29 : 718.71 = 205.24 : x
  2. Step 2: Convert to fraction form
    479.29/718.71 = 205.24/x
  3. Step 3: Cross multiply
    479.29x = 718.71 × 205.24
  4. Step 4: Simplify right side
    479.29x = 147,508.04
  5. Step 5: Solve for x
    x = 147,508.04/479.29
  6. Step 6: Final answer
    x = 307.76

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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.