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Finding the Fourth Proportional to 452.64, 674.91 and 452.04

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Solution

The fourth proportional to 452.64, 674.91 and 452.04 is: 674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 674.91 = 452.04 : x
  2. Step 2: Convert to fraction form
    452.64/674.91 = 452.04/x
  3. Step 3: Cross multiply
    452.64x = 674.91 × 452.04
  4. Step 4: Simplify right side
    452.64x = 305,086.32
  5. Step 5: Solve for x
    x = 305,086.32/452.64
  6. Step 6: Final answer
    x = 674.02

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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.