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Finding the Fourth Proportional to 598.71, 897.42 and 208.56

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Solution

The fourth proportional to 598.71, 897.42 and 208.56 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.71 : 897.42 = 208.56 : x
  2. Step 2: Convert to fraction form
    598.71/897.42 = 208.56/x
  3. Step 3: Cross multiply
    598.71x = 897.42 × 208.56
  4. Step 4: Simplify right side
    598.71x = 187,165.92
  5. Step 5: Solve for x
    x = 187,165.92/598.71
  6. Step 6: Final answer
    x = 312.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.