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Finding the Fourth Proportional to 482.46, 665.51 and 450.06

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Solution

The fourth proportional to 482.46, 665.51 and 450.06 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.46 : 665.51 = 450.06 : x
  2. Step 2: Convert to fraction form
    482.46/665.51 = 450.06/x
  3. Step 3: Cross multiply
    482.46x = 665.51 × 450.06
  4. Step 4: Simplify right side
    482.46x = 299,519.43
  5. Step 5: Solve for x
    x = 299,519.43/482.46
  6. Step 6: Final answer
    x = 620.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.