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Finding the Fourth Proportional to 448.91, 672.63 and 275.05

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Solution

The fourth proportional to 448.91, 672.63 and 275.05 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.91 : 672.63 = 275.05 : x
  2. Step 2: Convert to fraction form
    448.91/672.63 = 275.05/x
  3. Step 3: Cross multiply
    448.91x = 672.63 × 275.05
  4. Step 4: Simplify right side
    448.91x = 185,006.88
  5. Step 5: Solve for x
    x = 185,006.88/448.91
  6. Step 6: Final answer
    x = 412.12

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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.