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Finding the Fourth Proportional to 1.46, 2.19 and 0.46

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Solution

The fourth proportional to 1.46, 2.19 and 0.46 is: 0.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.46 : 2.19 = 0.46 : x
  2. Step 2: Convert to fraction form
    1.46/2.19 = 0.46/x
  3. Step 3: Cross multiply
    1.46x = 2.19 × 0.46
  4. Step 4: Simplify right side
    1.46x = 1.00
  5. Step 5: Solve for x
    x = 1.00/1.46
  6. Step 6: Final answer
    x = 0.69

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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.