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Finding the Fourth Proportional to 571.14, 788.11 and 335.05

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Solution

The fourth proportional to 571.14, 788.11 and 335.05 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.14 : 788.11 = 335.05 : x
  2. Step 2: Convert to fraction form
    571.14/788.11 = 335.05/x
  3. Step 3: Cross multiply
    571.14x = 788.11 × 335.05
  4. Step 4: Simplify right side
    571.14x = 264,053.45
  5. Step 5: Solve for x
    x = 264,053.45/571.14
  6. Step 6: Final answer
    x = 462.33

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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.