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Finding the Fourth Proportional to 598.54, 825.98 and 332.99

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Solution

The fourth proportional to 598.54, 825.98 and 332.99 is: 459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.54 : 825.98 = 332.99 : x
  2. Step 2: Convert to fraction form
    598.54/825.98 = 332.99/x
  3. Step 3: Cross multiply
    598.54x = 825.98 × 332.99
  4. Step 4: Simplify right side
    598.54x = 275,039.78
  5. Step 5: Solve for x
    x = 275,039.78/598.54
  6. Step 6: Final answer
    x = 459.52

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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.