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Finding the Fourth Proportional to 598.43, 825.80 and 332.85

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Solution

The fourth proportional to 598.43, 825.80 and 332.85 is: 459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.43 : 825.80 = 332.85 : x
  2. Step 2: Convert to fraction form
    598.43/825.80 = 332.85/x
  3. Step 3: Cross multiply
    598.43x = 825.80 × 332.85
  4. Step 4: Simplify right side
    598.43x = 274,868.96
  5. Step 5: Solve for x
    x = 274,868.96/598.43
  6. Step 6: Final answer
    x = 459.31

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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.