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Finding the Fourth Proportional to 448.36, 672.54 and 204.76

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Solution

The fourth proportional to 448.36, 672.54 and 204.76 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.36 : 672.54 = 204.76 : x
  2. Step 2: Convert to fraction form
    448.36/672.54 = 204.76/x
  3. Step 3: Cross multiply
    448.36x = 672.54 × 204.76
  4. Step 4: Simplify right side
    448.36x = 137,709.29
  5. Step 5: Solve for x
    x = 137,709.29/448.36
  6. Step 6: Final answer
    x = 307.14

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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.