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Finding the Fourth Proportional to 448.79, 672.94 and 205.19

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Solution

The fourth proportional to 448.79, 672.94 and 205.19 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.79 : 672.94 = 205.19 : x
  2. Step 2: Convert to fraction form
    448.79/672.94 = 205.19/x
  3. Step 3: Cross multiply
    448.79x = 672.94 × 205.19
  4. Step 4: Simplify right side
    448.79x = 138,076.17
  5. Step 5: Solve for x
    x = 138,076.17/448.79
  6. Step 6: Final answer
    x = 307.66

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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.