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Finding the Fourth Proportional to 569.28, 854.15 and 222.60

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Solution

The fourth proportional to 569.28, 854.15 and 222.60 is: 333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 854.15 = 222.60 : x
  2. Step 2: Convert to fraction form
    569.28/854.15 = 222.60/x
  3. Step 3: Cross multiply
    569.28x = 854.15 × 222.60
  4. Step 4: Simplify right side
    569.28x = 190,133.79
  5. Step 5: Solve for x
    x = 190,133.79/569.28
  6. Step 6: Final answer
    x = 333.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.