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Finding the Fourth Proportional to 448.61, 672.92 and 205.13

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Solution

The fourth proportional to 448.61, 672.92 and 205.13 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.61 : 672.92 = 205.13 : x
  2. Step 2: Convert to fraction form
    448.61/672.92 = 205.13/x
  3. Step 3: Cross multiply
    448.61x = 672.92 × 205.13
  4. Step 4: Simplify right side
    448.61x = 138,035.05
  5. Step 5: Solve for x
    x = 138,035.05/448.61
  6. Step 6: Final answer
    x = 307.70

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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.