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Finding the Fourth Proportional to 597.05, 823.83 and 335.01

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Solution

The fourth proportional to 597.05, 823.83 and 335.01 is: 462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.05 : 823.83 = 335.01 : x
  2. Step 2: Convert to fraction form
    597.05/823.83 = 335.01/x
  3. Step 3: Cross multiply
    597.05x = 823.83 × 335.01
  4. Step 4: Simplify right side
    597.05x = 275,994.60
  5. Step 5: Solve for x
    x = 275,994.60/597.05
  6. Step 6: Final answer
    x = 462.27

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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.