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Finding the Fourth Proportional to 569.33, 785.66 and 333.29

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Solution

The fourth proportional to 569.33, 785.66 and 333.29 is: 459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.33 : 785.66 = 333.29 : x
  2. Step 2: Convert to fraction form
    569.33/785.66 = 333.29/x
  3. Step 3: Cross multiply
    569.33x = 785.66 × 333.29
  4. Step 4: Simplify right side
    569.33x = 261,848.69
  5. Step 5: Solve for x
    x = 261,848.69/569.33
  6. Step 6: Final answer
    x = 459.93

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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.