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Finding the Fourth Proportional to 597.24, 824.47 and 376.31

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Solution

The fourth proportional to 597.24, 824.47 and 376.31 is: 519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 824.47 = 376.31 : x
  2. Step 2: Convert to fraction form
    597.24/824.47 = 376.31/x
  3. Step 3: Cross multiply
    597.24x = 824.47 × 376.31
  4. Step 4: Simplify right side
    597.24x = 310,252.18
  5. Step 5: Solve for x
    x = 310,252.18/597.24
  6. Step 6: Final answer
    x = 519.48

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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.