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Finding the Fourth Proportional to 598.97, 896.86 and 403.67

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Solution

The fourth proportional to 598.97, 896.86 and 403.67 is: 604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.97 : 896.86 = 403.67 : x
  2. Step 2: Convert to fraction form
    598.97/896.86 = 403.67/x
  3. Step 3: Cross multiply
    598.97x = 896.86 × 403.67
  4. Step 4: Simplify right side
    598.97x = 362,035.48
  5. Step 5: Solve for x
    x = 362,035.48/598.97
  6. Step 6: Final answer
    x = 604.43

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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.