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Finding the Fourth Proportional to 598.43, 825.82 and 332.87

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Solution

The fourth proportional to 598.43, 825.82 and 332.87 is: 459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.43 : 825.82 = 332.87 : x
  2. Step 2: Convert to fraction form
    598.43/825.82 = 332.87/x
  3. Step 3: Cross multiply
    598.43x = 825.82 × 332.87
  4. Step 4: Simplify right side
    598.43x = 274,890.70
  5. Step 5: Solve for x
    x = 274,890.70/598.43
  6. Step 6: Final answer
    x = 459.35

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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.