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Finding the Fourth Proportional to 569.60, 786.07 and 333.55

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Solution

The fourth proportional to 569.60, 786.07 and 333.55 is: 460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.60 : 786.07 = 333.55 : x
  2. Step 2: Convert to fraction form
    569.60/786.07 = 333.55/x
  3. Step 3: Cross multiply
    569.60x = 786.07 × 333.55
  4. Step 4: Simplify right side
    569.60x = 262,195.05
  5. Step 5: Solve for x
    x = 262,195.05/569.60
  6. Step 6: Final answer
    x = 460.32

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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.