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Finding the Fourth Proportional to 569.57, 786.14 and 333.64

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Solution

The fourth proportional to 569.57, 786.14 and 333.64 is: 460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.57 : 786.14 = 333.64 : x
  2. Step 2: Convert to fraction form
    569.57/786.14 = 333.64/x
  3. Step 3: Cross multiply
    569.57x = 786.14 × 333.64
  4. Step 4: Simplify right side
    569.57x = 262,283.89
  5. Step 5: Solve for x
    x = 262,283.89/569.57
  6. Step 6: Final answer
    x = 460.50

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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.