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Finding the Fourth Proportional to 415.83, 573.83 and 268.61

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Solution

The fourth proportional to 415.83, 573.83 and 268.61 is: 370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.83 : 573.83 = 268.61 : x
  2. Step 2: Convert to fraction form
    415.83/573.83 = 268.61/x
  3. Step 3: Cross multiply
    415.83x = 573.83 × 268.61
  4. Step 4: Simplify right side
    415.83x = 154,136.48
  5. Step 5: Solve for x
    x = 154,136.48/415.83
  6. Step 6: Final answer
    x = 370.67

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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.