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Finding the Fourth Proportional to 598.30, 825.64 and 332.74

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Solution

The fourth proportional to 598.30, 825.64 and 332.74 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.30 : 825.64 = 332.74 : x
  2. Step 2: Convert to fraction form
    598.30/825.64 = 332.74/x
  3. Step 3: Cross multiply
    598.30x = 825.64 × 332.74
  4. Step 4: Simplify right side
    598.30x = 274,717.66
  5. Step 5: Solve for x
    x = 274,717.66/598.30
  6. Step 6: Final answer
    x = 459.17

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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.