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Finding the Fourth Proportional to 598.93, 898.04 and 208.73

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Solution

The fourth proportional to 598.93, 898.04 and 208.73 is: 312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.93 : 898.04 = 208.73 : x
  2. Step 2: Convert to fraction form
    598.93/898.04 = 208.73/x
  3. Step 3: Cross multiply
    598.93x = 898.04 × 208.73
  4. Step 4: Simplify right side
    598.93x = 187,450.66
  5. Step 5: Solve for x
    x = 187,450.66/598.93
  6. Step 6: Final answer
    x = 312.98

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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.