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Finding the Fourth Proportional to 573.24, 790.60 and 415.88

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Solution

The fourth proportional to 573.24, 790.60 and 415.88 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.24 : 790.60 = 415.88 : x
  2. Step 2: Convert to fraction form
    573.24/790.60 = 415.88/x
  3. Step 3: Cross multiply
    573.24x = 790.60 × 415.88
  4. Step 4: Simplify right side
    573.24x = 328,794.73
  5. Step 5: Solve for x
    x = 328,794.73/573.24
  6. Step 6: Final answer
    x = 573.57

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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.