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Finding the Fourth Proportional to 701.26, 1,051.77 and 290.24

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Solution

The fourth proportional to 701.26, 1,051.77 and 290.24 is: 435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.26 : 1,051.77 = 290.24 : x
  2. Step 2: Convert to fraction form
    701.26/1,051.77 = 290.24/x
  3. Step 3: Cross multiply
    701.26x = 1,051.77 × 290.24
  4. Step 4: Simplify right side
    701.26x = 305,265.72
  5. Step 5: Solve for x
    x = 305,265.72/701.26
  6. Step 6: Final answer
    x = 435.31

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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.