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Finding the Fourth Proportional to 598.14, 897.24 and 208.14

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Solution

The fourth proportional to 598.14, 897.24 and 208.14 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 897.24 = 208.14 : x
  2. Step 2: Convert to fraction form
    598.14/897.24 = 208.14/x
  3. Step 3: Cross multiply
    598.14x = 897.24 × 208.14
  4. Step 4: Simplify right side
    598.14x = 186,751.53
  5. Step 5: Solve for x
    x = 186,751.53/598.14
  6. Step 6: Final answer
    x = 312.22

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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.