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Finding the Fourth Proportional to 940.30, 1,409.59 and 362.74

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Solution

The fourth proportional to 940.30, 1,409.59 and 362.74 is: 543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.30 : 1,409.59 = 362.74 : x
  2. Step 2: Convert to fraction form
    940.30/1,409.59 = 362.74/x
  3. Step 3: Cross multiply
    940.30x = 1,409.59 × 362.74
  4. Step 4: Simplify right side
    940.30x = 511,314.68
  5. Step 5: Solve for x
    x = 511,314.68/940.30
  6. Step 6: Final answer
    x = 543.78

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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.