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Finding the Fourth Proportional to 569.31, 785.64 and 333.42

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Solution

The fourth proportional to 569.31, 785.64 and 333.42 is: 460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.31 : 785.64 = 333.42 : x
  2. Step 2: Convert to fraction form
    569.31/785.64 = 333.42/x
  3. Step 3: Cross multiply
    569.31x = 785.64 × 333.42
  4. Step 4: Simplify right side
    569.31x = 261,948.09
  5. Step 5: Solve for x
    x = 261,948.09/569.31
  6. Step 6: Final answer
    x = 460.12

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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.