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Finding the Fourth Proportional to 442.44, 659.88 and 415.08

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Solution

The fourth proportional to 442.44, 659.88 and 415.08 is: 619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.44 : 659.88 = 415.08 : x
  2. Step 2: Convert to fraction form
    442.44/659.88 = 415.08/x
  3. Step 3: Cross multiply
    442.44x = 659.88 × 415.08
  4. Step 4: Simplify right side
    442.44x = 273,902.99
  5. Step 5: Solve for x
    x = 273,902.99/442.44
  6. Step 6: Final answer
    x = 619.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.