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Finding the Fourth Proportional to 598.36, 896.64 and 444.04

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Solution

The fourth proportional to 598.36, 896.64 and 444.04 is: 665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.36 : 896.64 = 444.04 : x
  2. Step 2: Convert to fraction form
    598.36/896.64 = 444.04/x
  3. Step 3: Cross multiply
    598.36x = 896.64 × 444.04
  4. Step 4: Simplify right side
    598.36x = 398,144.03
  5. Step 5: Solve for x
    x = 398,144.03/598.36
  6. Step 6: Final answer
    x = 665.39

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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.