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Finding the Fourth Proportional to 573.72, 790.50 and 398.76

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Solution

The fourth proportional to 573.72, 790.50 and 398.76 is: 549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.72 : 790.50 = 398.76 : x
  2. Step 2: Convert to fraction form
    573.72/790.50 = 398.76/x
  3. Step 3: Cross multiply
    573.72x = 790.50 × 398.76
  4. Step 4: Simplify right side
    573.72x = 315,219.78
  5. Step 5: Solve for x
    x = 315,219.78/573.72
  6. Step 6: Final answer
    x = 549.43

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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.