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Finding the Fourth Proportional to 569.39, 785.75 and 333.33

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Solution

The fourth proportional to 569.39, 785.75 and 333.33 is: 459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 785.75 = 333.33 : x
  2. Step 2: Convert to fraction form
    569.39/785.75 = 333.33/x
  3. Step 3: Cross multiply
    569.39x = 785.75 × 333.33
  4. Step 4: Simplify right side
    569.39x = 261,914.05
  5. Step 5: Solve for x
    x = 261,914.05/569.39
  6. Step 6: Final answer
    x = 459.99

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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.