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Finding the Fourth Proportional to 598.70, 897.39 and 208.32

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Solution

The fourth proportional to 598.70, 897.39 and 208.32 is: 312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 897.39 = 208.32 : x
  2. Step 2: Convert to fraction form
    598.70/897.39 = 208.32/x
  3. Step 3: Cross multiply
    598.70x = 897.39 × 208.32
  4. Step 4: Simplify right side
    598.70x = 186,944.28
  5. Step 5: Solve for x
    x = 186,944.28/598.70
  6. Step 6: Final answer
    x = 312.25

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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.