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Finding the Fourth Proportional to 597.24, 824.64 and 376.26

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Solution

The fourth proportional to 597.24, 824.64 and 376.26 is: 519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 824.64 = 376.26 : x
  2. Step 2: Convert to fraction form
    597.24/824.64 = 376.26/x
  3. Step 3: Cross multiply
    597.24x = 824.64 × 376.26
  4. Step 4: Simplify right side
    597.24x = 310,279.05
  5. Step 5: Solve for x
    x = 310,279.05/597.24
  6. Step 6: Final answer
    x = 519.52

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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.