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Finding the Fourth Proportional to 523.76, 785.84 and 199.13

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Solution

The fourth proportional to 523.76, 785.84 and 199.13 is: 298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.76 : 785.84 = 199.13 : x
  2. Step 2: Convert to fraction form
    523.76/785.84 = 199.13/x
  3. Step 3: Cross multiply
    523.76x = 785.84 × 199.13
  4. Step 4: Simplify right side
    523.76x = 156,479.39
  5. Step 5: Solve for x
    x = 156,479.39/523.76
  6. Step 6: Final answer
    x = 298.76

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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.