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Finding the Fourth Proportional to 598.97, 896.93 and 392.94

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Solution

The fourth proportional to 598.97, 896.93 and 392.94 is: 588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.97 : 896.93 = 392.94 : x
  2. Step 2: Convert to fraction form
    598.97/896.93 = 392.94/x
  3. Step 3: Cross multiply
    598.97x = 896.93 × 392.94
  4. Step 4: Simplify right side
    598.97x = 352,439.18
  5. Step 5: Solve for x
    x = 352,439.18/598.97
  6. Step 6: Final answer
    x = 588.41

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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.