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Finding the Fourth Proportional to 569.16, 785.48 and 333.18

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Solution

The fourth proportional to 569.16, 785.48 and 333.18 is: 459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 785.48 = 333.18 : x
  2. Step 2: Convert to fraction form
    569.16/785.48 = 333.18/x
  3. Step 3: Cross multiply
    569.16x = 785.48 × 333.18
  4. Step 4: Simplify right side
    569.16x = 261,704.56
  5. Step 5: Solve for x
    x = 261,704.56/569.16
  6. Step 6: Final answer
    x = 459.81

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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.