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Finding the Fourth Proportional to 3, 4.47 and 2.77

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Solution

The fourth proportional to 3, 4.47 and 2.77 is: 4.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3 : 4.47 = 2.77 : x
  2. Step 2: Convert to fraction form
    3/4.47 = 2.77/x
  3. Step 3: Cross multiply
    3x = 4.47 × 2.77
  4. Step 4: Simplify right side
    3x = 12.38
  5. Step 5: Solve for x
    x = 12.38/3
  6. Step 6: Final answer
    x = 4.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.