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Finding the Fourth Proportional to 452.13, 677.43 and 383.64

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Solution

The fourth proportional to 452.13, 677.43 and 383.64 is: 574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.13 : 677.43 = 383.64 : x
  2. Step 2: Convert to fraction form
    452.13/677.43 = 383.64/x
  3. Step 3: Cross multiply
    452.13x = 677.43 × 383.64
  4. Step 4: Simplify right side
    452.13x = 259,889.25
  5. Step 5: Solve for x
    x = 259,889.25/452.13
  6. Step 6: Final answer
    x = 574.81

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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.