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Finding the Fourth Proportional to 569.37, 785.75 and 333.29

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Solution

The fourth proportional to 569.37, 785.75 and 333.29 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.37 : 785.75 = 333.29 : x
  2. Step 2: Convert to fraction form
    569.37/785.75 = 333.29/x
  3. Step 3: Cross multiply
    569.37x = 785.75 × 333.29
  4. Step 4: Simplify right side
    569.37x = 261,877.02
  5. Step 5: Solve for x
    x = 261,877.02/569.37
  6. Step 6: Final answer
    x = 459.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.