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Finding the Fourth Proportional to 442.20, 661.41 and 430.41

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Solution

The fourth proportional to 442.20, 661.41 and 430.41 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.20 : 661.41 = 430.41 : x
  2. Step 2: Convert to fraction form
    442.20/661.41 = 430.41/x
  3. Step 3: Cross multiply
    442.20x = 661.41 × 430.41
  4. Step 4: Simplify right side
    442.20x = 284,677.48
  5. Step 5: Solve for x
    x = 284,677.48/442.20
  6. Step 6: Final answer
    x = 643.78

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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.