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Finding the Fourth Proportional to 448.49, 672.52 and 265.84

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Solution

The fourth proportional to 448.49, 672.52 and 265.84 is: 398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.49 : 672.52 = 265.84 : x
  2. Step 2: Convert to fraction form
    448.49/672.52 = 265.84/x
  3. Step 3: Cross multiply
    448.49x = 672.52 × 265.84
  4. Step 4: Simplify right side
    448.49x = 178,782.72
  5. Step 5: Solve for x
    x = 178,782.72/448.49
  6. Step 6: Final answer
    x = 398.63

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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.