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Finding the Fourth Proportional to 1,253.21, 1,879.83 and 328.84

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Solution

The fourth proportional to 1,253.21, 1,879.83 and 328.84 is: 493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.21 : 1,879.83 = 328.84 : x
  2. Step 2: Convert to fraction form
    1,253.21/1,879.83 = 328.84/x
  3. Step 3: Cross multiply
    1,253.21x = 1,879.83 × 328.84
  4. Step 4: Simplify right side
    1,253.21x = 618,165.65
  5. Step 5: Solve for x
    x = 618,165.65/1,253.21
  6. Step 6: Final answer
    x = 493.27

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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.