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Finding the Fourth Proportional to 573, 790.74 and 426.33

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Solution

The fourth proportional to 573, 790.74 and 426.33 is: 588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    573 : 790.74 = 426.33 : x
  2. Step 2: Convert to fraction form
    573/790.74 = 426.33/x
  3. Step 3: Cross multiply
    573x = 790.74 × 426.33
  4. Step 4: Simplify right side
    573x = 337,116.18
  5. Step 5: Solve for x
    x = 337,116.18/573
  6. Step 6: Final answer
    x = 588.34

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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.