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Finding the Fourth Proportional to 442.73, 609.48 and 384.50

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Solution

The fourth proportional to 442.73, 609.48 and 384.50 is: 529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.73 : 609.48 = 384.50 : x
  2. Step 2: Convert to fraction form
    442.73/609.48 = 384.50/x
  3. Step 3: Cross multiply
    442.73x = 609.48 × 384.50
  4. Step 4: Simplify right side
    442.73x = 234,346.58
  5. Step 5: Solve for x
    x = 234,346.58/442.73
  6. Step 6: Final answer
    x = 529.32

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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.