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Finding the Fourth Proportional to 597.34, 824.29 and 331.80

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Solution

The fourth proportional to 597.34, 824.29 and 331.80 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.34 : 824.29 = 331.80 : x
  2. Step 2: Convert to fraction form
    597.34/824.29 = 331.80/x
  3. Step 3: Cross multiply
    597.34x = 824.29 × 331.80
  4. Step 4: Simplify right side
    597.34x = 273,499.42
  5. Step 5: Solve for x
    x = 273,499.42/597.34
  6. Step 6: Final answer
    x = 457.86

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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.