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Finding the Fourth Proportional to 598.32, 825.49 and 362.36

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Solution

The fourth proportional to 598.32, 825.49 and 362.36 is: 499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 825.49 = 362.36 : x
  2. Step 2: Convert to fraction form
    598.32/825.49 = 362.36/x
  3. Step 3: Cross multiply
    598.32x = 825.49 × 362.36
  4. Step 4: Simplify right side
    598.32x = 299,122.43
  5. Step 5: Solve for x
    x = 299,122.43/598.32
  6. Step 6: Final answer
    x = 499.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.