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Finding the Fourth Proportional to 701.49, 1,051.97 and 290.52

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Solution

The fourth proportional to 701.49, 1,051.97 and 290.52 is: 435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.49 : 1,051.97 = 290.52 : x
  2. Step 2: Convert to fraction form
    701.49/1,051.97 = 290.52/x
  3. Step 3: Cross multiply
    701.49x = 1,051.97 × 290.52
  4. Step 4: Simplify right side
    701.49x = 305,616.87
  5. Step 5: Solve for x
    x = 305,616.87/701.49
  6. Step 6: Final answer
    x = 435.67

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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.