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Finding the Fourth Proportional to 561.70, 842.52 and 287.78

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Solution

The fourth proportional to 561.70, 842.52 and 287.78 is: 431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.70 : 842.52 = 287.78 : x
  2. Step 2: Convert to fraction form
    561.70/842.52 = 287.78/x
  3. Step 3: Cross multiply
    561.70x = 842.52 × 287.78
  4. Step 4: Simplify right side
    561.70x = 242,460.41
  5. Step 5: Solve for x
    x = 242,460.41/561.70
  6. Step 6: Final answer
    x = 431.65

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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.