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Finding the Fourth Proportional to 598.44, 825.94 and 362.42

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Solution

The fourth proportional to 598.44, 825.94 and 362.42 is: 500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.44 : 825.94 = 362.42 : x
  2. Step 2: Convert to fraction form
    598.44/825.94 = 362.42/x
  3. Step 3: Cross multiply
    598.44x = 825.94 × 362.42
  4. Step 4: Simplify right side
    598.44x = 299,337.17
  5. Step 5: Solve for x
    x = 299,337.17/598.44
  6. Step 6: Final answer
    x = 500.20

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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.