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Finding the Fourth Proportional to 939.42, 1,409.14 and 290.16

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Solution

The fourth proportional to 939.42, 1,409.14 and 290.16 is: 435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.42 : 1,409.14 = 290.16 : x
  2. Step 2: Convert to fraction form
    939.42/1,409.14 = 290.16/x
  3. Step 3: Cross multiply
    939.42x = 1,409.14 × 290.16
  4. Step 4: Simplify right side
    939.42x = 408,876.06
  5. Step 5: Solve for x
    x = 408,876.06/939.42
  6. Step 6: Final answer
    x = 435.24

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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.