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Finding the Fourth Proportional to 598.18, 825.50 and 362.07

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Solution

The fourth proportional to 598.18, 825.50 and 362.07 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.18 : 825.50 = 362.07 : x
  2. Step 2: Convert to fraction form
    598.18/825.50 = 362.07/x
  3. Step 3: Cross multiply
    598.18x = 825.50 × 362.07
  4. Step 4: Simplify right side
    598.18x = 298,892.15
  5. Step 5: Solve for x
    x = 298,892.15/598.18
  6. Step 6: Final answer
    x = 499.67

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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.