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Finding the Fourth Proportional to 450.97, 675.74 and 406.01

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Solution

The fourth proportional to 450.97, 675.74 and 406.01 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.97 : 675.74 = 406.01 : x
  2. Step 2: Convert to fraction form
    450.97/675.74 = 406.01/x
  3. Step 3: Cross multiply
    450.97x = 675.74 × 406.01
  4. Step 4: Simplify right side
    450.97x = 274,359.90
  5. Step 5: Solve for x
    x = 274,359.90/450.97
  6. Step 6: Final answer
    x = 608.38

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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.