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Finding the Fourth Proportional to 569.26, 785.46 and 333.16

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Solution

The fourth proportional to 569.26, 785.46 and 333.16 is: 459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.26 : 785.46 = 333.16 : x
  2. Step 2: Convert to fraction form
    569.26/785.46 = 333.16/x
  3. Step 3: Cross multiply
    569.26x = 785.46 × 333.16
  4. Step 4: Simplify right side
    569.26x = 261,683.85
  5. Step 5: Solve for x
    x = 261,683.85/569.26
  6. Step 6: Final answer
    x = 459.69

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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.