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Finding the Fourth Proportional to 940.05, 1,410.30 and 391.95

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Solution

The fourth proportional to 940.05, 1,410.30 and 391.95 is: 588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.05 : 1,410.30 = 391.95 : x
  2. Step 2: Convert to fraction form
    940.05/1,410.30 = 391.95/x
  3. Step 3: Cross multiply
    940.05x = 1,410.30 × 391.95
  4. Step 4: Simplify right side
    940.05x = 552,767.09
  5. Step 5: Solve for x
    x = 552,767.09/940.05
  6. Step 6: Final answer
    x = 588.02

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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.