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Finding the Fourth Proportional to 598.42, 825.68 and 362.36

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Solution

The fourth proportional to 598.42, 825.68 and 362.36 is: 499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.42 : 825.68 = 362.36 : x
  2. Step 2: Convert to fraction form
    598.42/825.68 = 362.36/x
  3. Step 3: Cross multiply
    598.42x = 825.68 × 362.36
  4. Step 4: Simplify right side
    598.42x = 299,193.40
  5. Step 5: Solve for x
    x = 299,193.40/598.42
  6. Step 6: Final answer
    x = 499.97

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