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Finding the Fourth Proportional to 442.55, 662.80 and 427.18

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Solution

The fourth proportional to 442.55, 662.80 and 427.18 is: 639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.55 : 662.80 = 427.18 : x
  2. Step 2: Convert to fraction form
    442.55/662.80 = 427.18/x
  3. Step 3: Cross multiply
    442.55x = 662.80 × 427.18
  4. Step 4: Simplify right side
    442.55x = 283,133.78
  5. Step 5: Solve for x
    x = 283,133.78/442.55
  6. Step 6: Final answer
    x = 639.77

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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.