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Finding the Fourth Proportional to 571.39, 788.52 and 335.28

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Solution

The fourth proportional to 571.39, 788.52 and 335.28 is: 462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.39 : 788.52 = 335.28 : x
  2. Step 2: Convert to fraction form
    571.39/788.52 = 335.28/x
  3. Step 3: Cross multiply
    571.39x = 788.52 × 335.28
  4. Step 4: Simplify right side
    571.39x = 264,373.31
  5. Step 5: Solve for x
    x = 264,373.31/571.39
  6. Step 6: Final answer
    x = 462.69

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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.