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Finding the Fourth Proportional to 597.37, 824.35 and 331.81

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Solution

The fourth proportional to 597.37, 824.35 and 331.81 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.37 : 824.35 = 331.81 : x
  2. Step 2: Convert to fraction form
    597.37/824.35 = 331.81/x
  3. Step 3: Cross multiply
    597.37x = 824.35 × 331.81
  4. Step 4: Simplify right side
    597.37x = 273,527.57
  5. Step 5: Solve for x
    x = 273,527.57/597.37
  6. Step 6: Final answer
    x = 457.89

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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.