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Finding the Fourth Proportional to 442.02, 662.03 and 433.55

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Solution

The fourth proportional to 442.02, 662.03 and 433.55 is: 649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 662.03 = 433.55 : x
  2. Step 2: Convert to fraction form
    442.02/662.03 = 433.55/x
  3. Step 3: Cross multiply
    442.02x = 662.03 × 433.55
  4. Step 4: Simplify right side
    442.02x = 287,023.11
  5. Step 5: Solve for x
    x = 287,023.11/442.02
  6. Step 6: Final answer
    x = 649.34

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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.