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Finding the Fourth Proportional to 571.93, 789.16 and 335.90

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Solution

The fourth proportional to 571.93, 789.16 and 335.90 is: 463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.93 : 789.16 = 335.90 : x
  2. Step 2: Convert to fraction form
    571.93/789.16 = 335.90/x
  3. Step 3: Cross multiply
    571.93x = 789.16 × 335.90
  4. Step 4: Simplify right side
    571.93x = 265,076.17
  5. Step 5: Solve for x
    x = 265,076.17/571.93
  6. Step 6: Final answer
    x = 463.48

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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.