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Finding the Fourth Proportional to 569.93, 855.31 and 535.91

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Solution

The fourth proportional to 569.93, 855.31 and 535.91 is: 804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.93 : 855.31 = 535.91 : x
  2. Step 2: Convert to fraction form
    569.93/855.31 = 535.91/x
  3. Step 3: Cross multiply
    569.93x = 855.31 × 535.91
  4. Step 4: Simplify right side
    569.93x = 458,365.70
  5. Step 5: Solve for x
    x = 458,365.70/569.93
  6. Step 6: Final answer
    x = 804.25

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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.