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Finding the Fourth Proportional to 597.69, 824.82 and 332.14

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Solution

The fourth proportional to 597.69, 824.82 and 332.14 is: 458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 824.82 = 332.14 : x
  2. Step 2: Convert to fraction form
    597.69/824.82 = 332.14/x
  3. Step 3: Cross multiply
    597.69x = 824.82 × 332.14
  4. Step 4: Simplify right side
    597.69x = 273,949.93
  5. Step 5: Solve for x
    x = 273,949.93/597.69
  6. Step 6: Final answer
    x = 458.35

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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.