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Finding the Fourth Proportional to 442.76, 662.70 and 405.80

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Solution

The fourth proportional to 442.76, 662.70 and 405.80 is: 607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 662.70 = 405.80 : x
  2. Step 2: Convert to fraction form
    442.76/662.70 = 405.80/x
  3. Step 3: Cross multiply
    442.76x = 662.70 × 405.80
  4. Step 4: Simplify right side
    442.76x = 268,923.66
  5. Step 5: Solve for x
    x = 268,923.66/442.76
  6. Step 6: Final answer
    x = 607.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.