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Finding the Fourth Proportional to 597.80, 824.90 and 332.22

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Solution

The fourth proportional to 597.80, 824.90 and 332.22 is: 458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 824.90 = 332.22 : x
  2. Step 2: Convert to fraction form
    597.80/824.90 = 332.22/x
  3. Step 3: Cross multiply
    597.80x = 824.90 × 332.22
  4. Step 4: Simplify right side
    597.80x = 274,049.71
  5. Step 5: Solve for x
    x = 274,049.71/597.80
  6. Step 6: Final answer
    x = 458.43

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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.