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Finding the Fourth Proportional to 597.75, 824.90 and 364.92

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Solution

The fourth proportional to 597.75, 824.90 and 364.92 is: 503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 824.90 = 364.92 : x
  2. Step 2: Convert to fraction form
    597.75/824.90 = 364.92/x
  3. Step 3: Cross multiply
    597.75x = 824.90 × 364.92
  4. Step 4: Simplify right side
    597.75x = 301,020.68
  5. Step 5: Solve for x
    x = 301,020.68/597.75
  6. Step 6: Final answer
    x = 503.59

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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.