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Finding the Fourth Proportional to 569.16, 785.55 and 333.14

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Solution

The fourth proportional to 569.16, 785.55 and 333.14 is: 459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 785.55 = 333.14 : x
  2. Step 2: Convert to fraction form
    569.16/785.55 = 333.14/x
  3. Step 3: Cross multiply
    569.16x = 785.55 × 333.14
  4. Step 4: Simplify right side
    569.16x = 261,694.20
  5. Step 5: Solve for x
    x = 261,694.20/569.16
  6. Step 6: Final answer
    x = 459.79

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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.