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Finding the Fourth Proportional to 562.05, 842.69 and 287.97

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Solution

The fourth proportional to 562.05, 842.69 and 287.97 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 842.69 = 287.97 : x
  2. Step 2: Convert to fraction form
    562.05/842.69 = 287.97/x
  3. Step 3: Cross multiply
    562.05x = 842.69 × 287.97
  4. Step 4: Simplify right side
    562.05x = 242,668.00
  5. Step 5: Solve for x
    x = 242,668.00/562.05
  6. Step 6: Final answer
    x = 431.76

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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.