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Finding the Fourth Proportional to 415.87, 623.79 and 127.30

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Solution

The fourth proportional to 415.87, 623.79 and 127.30 is: 190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.87 : 623.79 = 127.30 : x
  2. Step 2: Convert to fraction form
    415.87/623.79 = 127.30/x
  3. Step 3: Cross multiply
    415.87x = 623.79 × 127.30
  4. Step 4: Simplify right side
    415.87x = 79,405.35
  5. Step 5: Solve for x
    x = 79,405.35/415.87
  6. Step 6: Final answer
    x = 190.94

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Why These Related Problems?

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