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Finding the Fourth Proportional to 597.50, 824.34 and 376.37

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Solution

The fourth proportional to 597.50, 824.34 and 376.37 is: 519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.50 : 824.34 = 376.37 : x
  2. Step 2: Convert to fraction form
    597.50/824.34 = 376.37/x
  3. Step 3: Cross multiply
    597.50x = 824.34 × 376.37
  4. Step 4: Simplify right side
    597.50x = 310,256.85
  5. Step 5: Solve for x
    x = 310,256.85/597.50
  6. Step 6: Final answer
    x = 519.26

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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.