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Finding the Fourth Proportional to 704.96, 1,057.06 and 320

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Solution

The fourth proportional to 704.96, 1,057.06 and 320 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.96 : 1,057.06 = 320 : x
  2. Step 2: Convert to fraction form
    704.96/1,057.06 = 320/x
  3. Step 3: Cross multiply
    704.96x = 1,057.06 × 320
  4. Step 4: Simplify right side
    704.96x = 338,259.20
  5. Step 5: Solve for x
    x = 338,259.20/704.96
  6. Step 6: Final answer
    x = 479.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.