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Finding the Fourth Proportional to 597.73, 824.58 and 387.97

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Solution

The fourth proportional to 597.73, 824.58 and 387.97 is: 535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.73 : 824.58 = 387.97 : x
  2. Step 2: Convert to fraction form
    597.73/824.58 = 387.97/x
  3. Step 3: Cross multiply
    597.73x = 824.58 × 387.97
  4. Step 4: Simplify right side
    597.73x = 319,908.18
  5. Step 5: Solve for x
    x = 319,908.18/597.73
  6. Step 6: Final answer
    x = 535.21

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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.