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Finding the Fourth Proportional to 450.20, 670.32 and 423.48

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Solution

The fourth proportional to 450.20, 670.32 and 423.48 is: 630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.20 : 670.32 = 423.48 : x
  2. Step 2: Convert to fraction form
    450.20/670.32 = 423.48/x
  3. Step 3: Cross multiply
    450.20x = 670.32 × 423.48
  4. Step 4: Simplify right side
    450.20x = 283,867.11
  5. Step 5: Solve for x
    x = 283,867.11/450.20
  6. Step 6: Final answer
    x = 630.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.