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Finding the Fourth Proportional to 569.86, 855.22 and 245.46

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Solution

The fourth proportional to 569.86, 855.22 and 245.46 is: 368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.86 : 855.22 = 245.46 : x
  2. Step 2: Convert to fraction form
    569.86/855.22 = 245.46/x
  3. Step 3: Cross multiply
    569.86x = 855.22 × 245.46
  4. Step 4: Simplify right side
    569.86x = 209,922.30
  5. Step 5: Solve for x
    x = 209,922.30/569.86
  6. Step 6: Final answer
    x = 368.38

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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.