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Finding the Fourth Proportional to 704.30, 972.22 and 455.64

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Solution

The fourth proportional to 704.30, 972.22 and 455.64 is: 628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.30 : 972.22 = 455.64 : x
  2. Step 2: Convert to fraction form
    704.30/972.22 = 455.64/x
  3. Step 3: Cross multiply
    704.30x = 972.22 × 455.64
  4. Step 4: Simplify right side
    704.30x = 442,982.32
  5. Step 5: Solve for x
    x = 442,982.32/704.30
  6. Step 6: Final answer
    x = 628.97

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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.