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Finding the Fourth Proportional to 597.86, 825.06 and 332.31

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Solution

The fourth proportional to 597.86, 825.06 and 332.31 is: 458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 825.06 = 332.31 : x
  2. Step 2: Convert to fraction form
    597.86/825.06 = 332.31/x
  3. Step 3: Cross multiply
    597.86x = 825.06 × 332.31
  4. Step 4: Simplify right side
    597.86x = 274,174.03
  5. Step 5: Solve for x
    x = 274,174.03/597.86
  6. Step 6: Final answer
    x = 458.59

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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.