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Finding the Fourth Proportional to 442.56, 611.04 and 287.52

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Solution

The fourth proportional to 442.56, 611.04 and 287.52 is: 396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 611.04 = 287.52 : x
  2. Step 2: Convert to fraction form
    442.56/611.04 = 287.52/x
  3. Step 3: Cross multiply
    442.56x = 611.04 × 287.52
  4. Step 4: Simplify right side
    442.56x = 175,686.22
  5. Step 5: Solve for x
    x = 175,686.22/442.56
  6. Step 6: Final answer
    x = 396.98

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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.