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Finding the Fourth Proportional to 442.32, 609.24 and 416.92

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Solution

The fourth proportional to 442.32, 609.24 and 416.92 is: 574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.32 : 609.24 = 416.92 : x
  2. Step 2: Convert to fraction form
    442.32/609.24 = 416.92/x
  3. Step 3: Cross multiply
    442.32x = 609.24 × 416.92
  4. Step 4: Simplify right side
    442.32x = 254,004.34
  5. Step 5: Solve for x
    x = 254,004.34/442.32
  6. Step 6: Final answer
    x = 574.25

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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.