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Finding the Fourth Proportional to 442.05, 609.61 and 292.61

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Solution

The fourth proportional to 442.05, 609.61 and 292.61 is: 403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.05 : 609.61 = 292.61 : x
  2. Step 2: Convert to fraction form
    442.05/609.61 = 292.61/x
  3. Step 3: Cross multiply
    442.05x = 609.61 × 292.61
  4. Step 4: Simplify right side
    442.05x = 178,374.20
  5. Step 5: Solve for x
    x = 178,374.20/442.05
  6. Step 6: Final answer
    x = 403.52

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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.