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Finding the Fourth Proportional to 598.21, 825.57 and 332.69

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Solution

The fourth proportional to 598.21, 825.57 and 332.69 is: 459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.21 : 825.57 = 332.69 : x
  2. Step 2: Convert to fraction form
    598.21/825.57 = 332.69/x
  3. Step 3: Cross multiply
    598.21x = 825.57 × 332.69
  4. Step 4: Simplify right side
    598.21x = 274,662.65
  5. Step 5: Solve for x
    x = 274,662.65/598.21
  6. Step 6: Final answer
    x = 459.14

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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.