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Finding the Fourth Proportional to 939.60, 1,409.13 and 419.31

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Solution

The fourth proportional to 939.60, 1,409.13 and 419.31 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.60 : 1,409.13 = 419.31 : x
  2. Step 2: Convert to fraction form
    939.60/1,409.13 = 419.31/x
  3. Step 3: Cross multiply
    939.60x = 1,409.13 × 419.31
  4. Step 4: Simplify right side
    939.60x = 590,862.30
  5. Step 5: Solve for x
    x = 590,862.30/939.60
  6. Step 6: Final answer
    x = 628.84

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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.