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Finding the Fourth Proportional to 598.23, 825.60 and 362.23

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Solution

The fourth proportional to 598.23, 825.60 and 362.23 is: 499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.23 : 825.60 = 362.23 : x
  2. Step 2: Convert to fraction form
    598.23/825.60 = 362.23/x
  3. Step 3: Cross multiply
    598.23x = 825.60 × 362.23
  4. Step 4: Simplify right side
    598.23x = 299,057.09
  5. Step 5: Solve for x
    x = 299,057.09/598.23
  6. Step 6: Final answer
    x = 499.90

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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.