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Finding the Fourth Proportional to 597.75, 824.88 and 332.19

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Solution

The fourth proportional to 597.75, 824.88 and 332.19 is: 458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 824.88 = 332.19 : x
  2. Step 2: Convert to fraction form
    597.75/824.88 = 332.19/x
  3. Step 3: Cross multiply
    597.75x = 824.88 × 332.19
  4. Step 4: Simplify right side
    597.75x = 274,018.43
  5. Step 5: Solve for x
    x = 274,018.43/597.75
  6. Step 6: Final answer
    x = 458.42

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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.