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Finding the Fourth Proportional to 597.93, 825.11 and 332.37

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Solution

The fourth proportional to 597.93, 825.11 and 332.37 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 825.11 = 332.37 : x
  2. Step 2: Convert to fraction form
    597.93/825.11 = 332.37/x
  3. Step 3: Cross multiply
    597.93x = 825.11 × 332.37
  4. Step 4: Simplify right side
    597.93x = 274,241.81
  5. Step 5: Solve for x
    x = 274,241.81/597.93
  6. Step 6: Final answer
    x = 458.65

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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.