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Finding the Fourth Proportional to 1,400.30, 2,100.42 and 360.30

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Solution

The fourth proportional to 1,400.30, 2,100.42 and 360.30 is: 540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.30 : 2,100.42 = 360.30 : x
  2. Step 2: Convert to fraction form
    1,400.30/2,100.42 = 360.30/x
  3. Step 3: Cross multiply
    1,400.30x = 2,100.42 × 360.30
  4. Step 4: Simplify right side
    1,400.30x = 756,781.33
  5. Step 5: Solve for x
    x = 756,781.33/1,400.30
  6. Step 6: Final answer
    x = 540.44

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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.