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Finding the Fourth Proportional to 569.05, 852.31 and 325.42

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Solution

The fourth proportional to 569.05, 852.31 and 325.42 is: 487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.05 : 852.31 = 325.42 : x
  2. Step 2: Convert to fraction form
    569.05/852.31 = 325.42/x
  3. Step 3: Cross multiply
    569.05x = 852.31 × 325.42
  4. Step 4: Simplify right side
    569.05x = 277,358.72
  5. Step 5: Solve for x
    x = 277,358.72/569.05
  6. Step 6: Final answer
    x = 487.41

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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.