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Finding the Fourth Proportional to 597.99, 825.26 and 332.47

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Solution

The fourth proportional to 597.99, 825.26 and 332.47 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.99 : 825.26 = 332.47 : x
  2. Step 2: Convert to fraction form
    597.99/825.26 = 332.47/x
  3. Step 3: Cross multiply
    597.99x = 825.26 × 332.47
  4. Step 4: Simplify right side
    597.99x = 274,370.07
  5. Step 5: Solve for x
    x = 274,370.07/597.99
  6. Step 6: Final answer
    x = 458.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.