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Finding the Fourth Proportional to 442.32, 610.09 and 302.21

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Solution

The fourth proportional to 442.32, 610.09 and 302.21 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.32 : 610.09 = 302.21 : x
  2. Step 2: Convert to fraction form
    442.32/610.09 = 302.21/x
  3. Step 3: Cross multiply
    442.32x = 610.09 × 302.21
  4. Step 4: Simplify right side
    442.32x = 184,375.30
  5. Step 5: Solve for x
    x = 184,375.30/442.32
  6. Step 6: Final answer
    x = 416.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.