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Finding the Fourth Proportional to 704.08, 971.72 and 428.24

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Solution

The fourth proportional to 704.08, 971.72 and 428.24 is: 591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.08 : 971.72 = 428.24 : x
  2. Step 2: Convert to fraction form
    704.08/971.72 = 428.24/x
  3. Step 3: Cross multiply
    704.08x = 971.72 × 428.24
  4. Step 4: Simplify right side
    704.08x = 416,129.37
  5. Step 5: Solve for x
    x = 416,129.37/704.08
  6. Step 6: Final answer
    x = 591.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.