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Finding the Fourth Proportional to 597.86, 824.69 and 376.43

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Solution

The fourth proportional to 597.86, 824.69 and 376.43 is: 519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 824.69 = 376.43 : x
  2. Step 2: Convert to fraction form
    597.86/824.69 = 376.43/x
  3. Step 3: Cross multiply
    597.86x = 824.69 × 376.43
  4. Step 4: Simplify right side
    597.86x = 310,432.05
  5. Step 5: Solve for x
    x = 310,432.05/597.86
  6. Step 6: Final answer
    x = 519.24

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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.