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Finding the Fourth Proportional to 569.07, 785.31 and 333.18

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Solution

The fourth proportional to 569.07, 785.31 and 333.18 is: 459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.07 : 785.31 = 333.18 : x
  2. Step 2: Convert to fraction form
    569.07/785.31 = 333.18/x
  3. Step 3: Cross multiply
    569.07x = 785.31 × 333.18
  4. Step 4: Simplify right side
    569.07x = 261,649.59
  5. Step 5: Solve for x
    x = 261,649.59/569.07
  6. Step 6: Final answer
    x = 459.78

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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.