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Finding the Fourth Proportional to 3.60, 4.96 and 3.50

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Solution

The fourth proportional to 3.60, 4.96 and 3.50 is: 4.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.60 : 4.96 = 3.50 : x
  2. Step 2: Convert to fraction form
    3.60/4.96 = 3.50/x
  3. Step 3: Cross multiply
    3.60x = 4.96 × 3.50
  4. Step 4: Simplify right side
    3.60x = 17.36
  5. Step 5: Solve for x
    x = 17.36/3.60
  6. Step 6: Final answer
    x = 4.82

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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.