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Finding the Fourth Proportional to 597.29, 824.36 and 376.31

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Solution

The fourth proportional to 597.29, 824.36 and 376.31 is: 519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.29 : 824.36 = 376.31 : x
  2. Step 2: Convert to fraction form
    597.29/824.36 = 376.31/x
  3. Step 3: Cross multiply
    597.29x = 824.36 × 376.31
  4. Step 4: Simplify right side
    597.29x = 310,208.91
  5. Step 5: Solve for x
    x = 310,208.91/597.29
  6. Step 6: Final answer
    x = 519.36

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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.