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Finding the Fourth Proportional to 573.16, 790.02 and 398.20

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Solution

The fourth proportional to 573.16, 790.02 and 398.20 is: 548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.16 : 790.02 = 398.20 : x
  2. Step 2: Convert to fraction form
    573.16/790.02 = 398.20/x
  3. Step 3: Cross multiply
    573.16x = 790.02 × 398.20
  4. Step 4: Simplify right side
    573.16x = 314,585.96
  5. Step 5: Solve for x
    x = 314,585.96/573.16
  6. Step 6: Final answer
    x = 548.86

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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.