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Finding the Fourth Proportional to 701.53, 1,052.78 and 290.67

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Solution

The fourth proportional to 701.53, 1,052.78 and 290.67 is: 436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.53 : 1,052.78 = 290.67 : x
  2. Step 2: Convert to fraction form
    701.53/1,052.78 = 290.67/x
  3. Step 3: Cross multiply
    701.53x = 1,052.78 × 290.67
  4. Step 4: Simplify right side
    701.53x = 306,011.56
  5. Step 5: Solve for x
    x = 306,011.56/701.53
  6. Step 6: Final answer
    x = 436.21

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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.