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Finding the Fourth Proportional to 442.96, 611.54 and 303.28

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Solution

The fourth proportional to 442.96, 611.54 and 303.28 is: 418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.96 : 611.54 = 303.28 : x
  2. Step 2: Convert to fraction form
    442.96/611.54 = 303.28/x
  3. Step 3: Cross multiply
    442.96x = 611.54 × 303.28
  4. Step 4: Simplify right side
    442.96x = 185,467.85
  5. Step 5: Solve for x
    x = 185,467.85/442.96
  6. Step 6: Final answer
    x = 418.70

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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.