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Finding the Fourth Proportional to 415.39, 623.05 and 141.46

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Solution

The fourth proportional to 415.39, 623.05 and 141.46 is: 212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.39 : 623.05 = 141.46 : x
  2. Step 2: Convert to fraction form
    415.39/623.05 = 141.46/x
  3. Step 3: Cross multiply
    415.39x = 623.05 × 141.46
  4. Step 4: Simplify right side
    415.39x = 88,136.65
  5. Step 5: Solve for x
    x = 88,136.65/415.39
  6. Step 6: Final answer
    x = 212.18

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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.