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Finding the Fourth Proportional to 450.03, 674.77 and 176.25

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Solution

The fourth proportional to 450.03, 674.77 and 176.25 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.03 : 674.77 = 176.25 : x
  2. Step 2: Convert to fraction form
    450.03/674.77 = 176.25/x
  3. Step 3: Cross multiply
    450.03x = 674.77 × 176.25
  4. Step 4: Simplify right side
    450.03x = 118,928.21
  5. Step 5: Solve for x
    x = 118,928.21/450.03
  6. Step 6: Final answer
    x = 264.27

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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.