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Finding the Fourth Proportional to 939.65, 1,409.49 and 290.84

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Solution

The fourth proportional to 939.65, 1,409.49 and 290.84 is: 436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.65 : 1,409.49 = 290.84 : x
  2. Step 2: Convert to fraction form
    939.65/1,409.49 = 290.84/x
  3. Step 3: Cross multiply
    939.65x = 1,409.49 × 290.84
  4. Step 4: Simplify right side
    939.65x = 409,929.02
  5. Step 5: Solve for x
    x = 409,929.02/939.65
  6. Step 6: Final answer
    x = 436.26

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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.