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Finding the Fourth Proportional to 940.25, 1,410.55 and 290.83

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Solution

The fourth proportional to 940.25, 1,410.55 and 290.83 is: 436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.25 : 1,410.55 = 290.83 : x
  2. Step 2: Convert to fraction form
    940.25/1,410.55 = 290.83/x
  3. Step 3: Cross multiply
    940.25x = 1,410.55 × 290.83
  4. Step 4: Simplify right side
    940.25x = 410,230.26
  5. Step 5: Solve for x
    x = 410,230.26/940.25
  6. Step 6: Final answer
    x = 436.30

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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.