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Finding the Fourth Proportional to 597.44, 824.82 and 387.68

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Solution

The fourth proportional to 597.44, 824.82 and 387.68 is: 535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.44 : 824.82 = 387.68 : x
  2. Step 2: Convert to fraction form
    597.44/824.82 = 387.68/x
  3. Step 3: Cross multiply
    597.44x = 824.82 × 387.68
  4. Step 4: Simplify right side
    597.44x = 319,766.22
  5. Step 5: Solve for x
    x = 319,766.22/597.44
  6. Step 6: Final answer
    x = 535.23

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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.