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Finding the Fourth Proportional to 598.08, 825.17 and 362.11

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Solution

The fourth proportional to 598.08, 825.17 and 362.11 is: 499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 825.17 = 362.11 : x
  2. Step 2: Convert to fraction form
    598.08/825.17 = 362.11/x
  3. Step 3: Cross multiply
    598.08x = 825.17 × 362.11
  4. Step 4: Simplify right side
    598.08x = 298,800.50
  5. Step 5: Solve for x
    x = 298,800.50/598.08
  6. Step 6: Final answer
    x = 499.60

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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.