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Finding the Fourth Proportional to 598.34, 896.97 and 208.07

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Solution

The fourth proportional to 598.34, 896.97 and 208.07 is: 311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.34 : 896.97 = 208.07 : x
  2. Step 2: Convert to fraction form
    598.34/896.97 = 208.07/x
  3. Step 3: Cross multiply
    598.34x = 896.97 × 208.07
  4. Step 4: Simplify right side
    598.34x = 186,628.06
  5. Step 5: Solve for x
    x = 186,628.06/598.34
  6. Step 6: Final answer
    x = 311.91

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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.