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Finding the Fourth Proportional to 415.20, 623.22 and 155.46

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Solution

The fourth proportional to 415.20, 623.22 and 155.46 is: 233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 623.22 = 155.46 : x
  2. Step 2: Convert to fraction form
    415.20/623.22 = 155.46/x
  3. Step 3: Cross multiply
    415.20x = 623.22 × 155.46
  4. Step 4: Simplify right side
    415.20x = 96,885.78
  5. Step 5: Solve for x
    x = 96,885.78/415.20
  6. Step 6: Final answer
    x = 233.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.