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Finding the Fourth Proportional to 597.49, 824.82 and 376.41

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Solution

The fourth proportional to 597.49, 824.82 and 376.41 is: 519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.49 : 824.82 = 376.41 : x
  2. Step 2: Convert to fraction form
    597.49/824.82 = 376.41/x
  3. Step 3: Cross multiply
    597.49x = 824.82 × 376.41
  4. Step 4: Simplify right side
    597.49x = 310,472.18
  5. Step 5: Solve for x
    x = 310,472.18/597.49
  6. Step 6: Final answer
    x = 519.63

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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.