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Finding the Fourth Proportional to 450.80, 673.26 and 378.64

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Solution

The fourth proportional to 450.80, 673.26 and 378.64 is: 565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.80 : 673.26 = 378.64 : x
  2. Step 2: Convert to fraction form
    450.80/673.26 = 378.64/x
  3. Step 3: Cross multiply
    450.80x = 673.26 × 378.64
  4. Step 4: Simplify right side
    450.80x = 254,923.17
  5. Step 5: Solve for x
    x = 254,923.17/450.80
  6. Step 6: Final answer
    x = 565.49

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1.5x scale

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.