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Finding the Fourth Proportional to 618.76, 928.23 and 207.82

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Solution

The fourth proportional to 618.76, 928.23 and 207.82 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.76 : 928.23 = 207.82 : x
  2. Step 2: Convert to fraction form
    618.76/928.23 = 207.82/x
  3. Step 3: Cross multiply
    618.76x = 928.23 × 207.82
  4. Step 4: Simplify right side
    618.76x = 192,904.76
  5. Step 5: Solve for x
    x = 192,904.76/618.76
  6. Step 6: Final answer
    x = 311.76

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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.