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Finding the Fourth Proportional to 701.44, 1,052.16 and 336.12

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Solution

The fourth proportional to 701.44, 1,052.16 and 336.12 is: 504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.44 : 1,052.16 = 336.12 : x
  2. Step 2: Convert to fraction form
    701.44/1,052.16 = 336.12/x
  3. Step 3: Cross multiply
    701.44x = 1,052.16 × 336.12
  4. Step 4: Simplify right side
    701.44x = 353,652.02
  5. Step 5: Solve for x
    x = 353,652.02/701.44
  6. Step 6: Final answer
    x = 504.18

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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.