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Finding the Fourth Proportional to 597.17, 823.77 and 400.82

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Solution

The fourth proportional to 597.17, 823.77 and 400.82 is: 552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 823.77 = 400.82 : x
  2. Step 2: Convert to fraction form
    597.17/823.77 = 400.82/x
  3. Step 3: Cross multiply
    597.17x = 823.77 × 400.82
  4. Step 4: Simplify right side
    597.17x = 330,179.37
  5. Step 5: Solve for x
    x = 330,179.37/597.17
  6. Step 6: Final answer
    x = 552.90

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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.