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Finding the Fourth Proportional to 569.70, 786.15 and 336.78

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Solution

The fourth proportional to 569.70, 786.15 and 336.78 is: 464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.70 : 786.15 = 336.78 : x
  2. Step 2: Convert to fraction form
    569.70/786.15 = 336.78/x
  3. Step 3: Cross multiply
    569.70x = 786.15 × 336.78
  4. Step 4: Simplify right side
    569.70x = 264,759.60
  5. Step 5: Solve for x
    x = 264,759.60/569.70
  6. Step 6: Final answer
    x = 464.74

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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.