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Finding the Fourth Proportional to 701.38, 1,052.10 and 290.37

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Solution

The fourth proportional to 701.38, 1,052.10 and 290.37 is: 435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.38 : 1,052.10 = 290.37 : x
  2. Step 2: Convert to fraction form
    701.38/1,052.10 = 290.37/x
  3. Step 3: Cross multiply
    701.38x = 1,052.10 × 290.37
  4. Step 4: Simplify right side
    701.38x = 305,498.28
  5. Step 5: Solve for x
    x = 305,498.28/701.38
  6. Step 6: Final answer
    x = 435.57

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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.