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Finding the Fourth Proportional to 597.24, 823.77 and 400.41

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Solution

The fourth proportional to 597.24, 823.77 and 400.41 is: 552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 823.77 = 400.41 : x
  2. Step 2: Convert to fraction form
    597.24/823.77 = 400.41/x
  3. Step 3: Cross multiply
    597.24x = 823.77 × 400.41
  4. Step 4: Simplify right side
    597.24x = 329,845.75
  5. Step 5: Solve for x
    x = 329,845.75/597.24
  6. Step 6: Final answer
    x = 552.28

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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.