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Finding the Fourth Proportional to 448.86, 674.25 and 380.52

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Solution

The fourth proportional to 448.86, 674.25 and 380.52 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 674.25 = 380.52 : x
  2. Step 2: Convert to fraction form
    448.86/674.25 = 380.52/x
  3. Step 3: Cross multiply
    448.86x = 674.25 × 380.52
  4. Step 4: Simplify right side
    448.86x = 256,565.61
  5. Step 5: Solve for x
    x = 256,565.61/448.86
  6. Step 6: Final answer
    x = 571.59

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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.