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Finding the Fourth Proportional to 569.44, 855.20 and 546.24

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Solution

The fourth proportional to 569.44, 855.20 and 546.24 is: 820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.44 : 855.20 = 546.24 : x
  2. Step 2: Convert to fraction form
    569.44/855.20 = 546.24/x
  3. Step 3: Cross multiply
    569.44x = 855.20 × 546.24
  4. Step 4: Simplify right side
    569.44x = 467,144.45
  5. Step 5: Solve for x
    x = 467,144.45/569.44
  6. Step 6: Final answer
    x = 820.36

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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.