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Finding the Fourth Proportional to 3.48, 4.78 and 3.40

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Solution

The fourth proportional to 3.48, 4.78 and 3.40 is: 4.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.48 : 4.78 = 3.40 : x
  2. Step 2: Convert to fraction form
    3.48/4.78 = 3.40/x
  3. Step 3: Cross multiply
    3.48x = 4.78 × 3.40
  4. Step 4: Simplify right side
    3.48x = 16.25
  5. Step 5: Solve for x
    x = 16.25/3.48
  6. Step 6: Final answer
    x = 4.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.