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Finding the Fourth Proportional to 598.49, 897.57 and 208.43

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Solution

The fourth proportional to 598.49, 897.57 and 208.43 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.49 : 897.57 = 208.43 : x
  2. Step 2: Convert to fraction form
    598.49/897.57 = 208.43/x
  3. Step 3: Cross multiply
    598.49x = 897.57 × 208.43
  4. Step 4: Simplify right side
    598.49x = 187,080.52
  5. Step 5: Solve for x
    x = 187,080.52/598.49
  6. Step 6: Final answer
    x = 312.59

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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.