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Finding the Fourth Proportional to 569.49, 852.88 and 363.41

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Solution

The fourth proportional to 569.49, 852.88 and 363.41 is: 544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 852.88 = 363.41 : x
  2. Step 2: Convert to fraction form
    569.49/852.88 = 363.41/x
  3. Step 3: Cross multiply
    569.49x = 852.88 × 363.41
  4. Step 4: Simplify right side
    569.49x = 309,945.12
  5. Step 5: Solve for x
    x = 309,945.12/569.49
  6. Step 6: Final answer
    x = 544.25

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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.