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Finding the Fourth Proportional to 591.22, 889.25 and 535.33

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Solution

The fourth proportional to 591.22, 889.25 and 535.33 is: 805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.22 : 889.25 = 535.33 : x
  2. Step 2: Convert to fraction form
    591.22/889.25 = 535.33/x
  3. Step 3: Cross multiply
    591.22x = 889.25 × 535.33
  4. Step 4: Simplify right side
    591.22x = 476,041.32
  5. Step 5: Solve for x
    x = 476,041.32/591.22
  6. Step 6: Final answer
    x = 805.19

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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.