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Finding the Fourth Proportional to 939.49, 1,409.17 and 419.52

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Solution

The fourth proportional to 939.49, 1,409.17 and 419.52 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.49 : 1,409.17 = 419.52 : x
  2. Step 2: Convert to fraction form
    939.49/1,409.17 = 419.52/x
  3. Step 3: Cross multiply
    939.49x = 1,409.17 × 419.52
  4. Step 4: Simplify right side
    939.49x = 591,170.43
  5. Step 5: Solve for x
    x = 591,170.43/939.49
  6. Step 6: Final answer
    x = 629.25

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1.5x scale

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.