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Finding the Fourth Proportional to 452.69, 677.49 and 315.14

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Solution

The fourth proportional to 452.69, 677.49 and 315.14 is: 471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.69 : 677.49 = 315.14 : x
  2. Step 2: Convert to fraction form
    452.69/677.49 = 315.14/x
  3. Step 3: Cross multiply
    452.69x = 677.49 × 315.14
  4. Step 4: Simplify right side
    452.69x = 213,504.33
  5. Step 5: Solve for x
    x = 213,504.33/452.69
  6. Step 6: Final answer
    x = 471.64

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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.