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Finding the Fourth Proportional to 618.91, 928.38 and 208.04

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Solution

The fourth proportional to 618.91, 928.38 and 208.04 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.91 : 928.38 = 208.04 : x
  2. Step 2: Convert to fraction form
    618.91/928.38 = 208.04/x
  3. Step 3: Cross multiply
    618.91x = 928.38 × 208.04
  4. Step 4: Simplify right side
    618.91x = 193,140.18
  5. Step 5: Solve for x
    x = 193,140.18/618.91
  6. Step 6: Final answer
    x = 312.07

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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.