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Finding the Fourth Proportional to 442.30, 609.62 and 294.68

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Solution

The fourth proportional to 442.30, 609.62 and 294.68 is: 406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.30 : 609.62 = 294.68 : x
  2. Step 2: Convert to fraction form
    442.30/609.62 = 294.68/x
  3. Step 3: Cross multiply
    442.30x = 609.62 × 294.68
  4. Step 4: Simplify right side
    442.30x = 179,642.82
  5. Step 5: Solve for x
    x = 179,642.82/442.30
  6. Step 6: Final answer
    x = 406.16

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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.