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Finding the Fourth Proportional to 5.63, 7.77 and 3.33

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Solution

The fourth proportional to 5.63, 7.77 and 3.33 is: 4.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.63 : 7.77 = 3.33 : x
  2. Step 2: Convert to fraction form
    5.63/7.77 = 3.33/x
  3. Step 3: Cross multiply
    5.63x = 7.77 × 3.33
  4. Step 4: Simplify right side
    5.63x = 25.85
  5. Step 5: Solve for x
    x = 25.85/5.63
  6. Step 6: Final answer
    x = 4.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.