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Finding the Fourth Proportional to 701.67, 1,052.14 and 290.89

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Solution

The fourth proportional to 701.67, 1,052.14 and 290.89 is: 436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.67 : 1,052.14 = 290.89 : x
  2. Step 2: Convert to fraction form
    701.67/1,052.14 = 290.89/x
  3. Step 3: Cross multiply
    701.67x = 1,052.14 × 290.89
  4. Step 4: Simplify right side
    701.67x = 306,057.00
  5. Step 5: Solve for x
    x = 306,057.00/701.67
  6. Step 6: Final answer
    x = 436.18

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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.