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Finding the Fourth Proportional to 598.50, 825.86 and 332.92

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Solution

The fourth proportional to 598.50, 825.86 and 332.92 is: 459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.50 : 825.86 = 332.92 : x
  2. Step 2: Convert to fraction form
    598.50/825.86 = 332.92/x
  3. Step 3: Cross multiply
    598.50x = 825.86 × 332.92
  4. Step 4: Simplify right side
    598.50x = 274,945.31
  5. Step 5: Solve for x
    x = 274,945.31/598.50
  6. Step 6: Final answer
    x = 459.39

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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.