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Finding the Fourth Proportional to 561.46, 842.71 and 287.74

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Solution

The fourth proportional to 561.46, 842.71 and 287.74 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.46 : 842.71 = 287.74 : x
  2. Step 2: Convert to fraction form
    561.46/842.71 = 287.74/x
  3. Step 3: Cross multiply
    561.46x = 842.71 × 287.74
  4. Step 4: Simplify right side
    561.46x = 242,481.38
  5. Step 5: Solve for x
    x = 242,481.38/561.46
  6. Step 6: Final answer
    x = 431.88

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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.