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Finding the Fourth Proportional to 448.58, 672.79 and 205.06

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Solution

The fourth proportional to 448.58, 672.79 and 205.06 is: 307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.58 : 672.79 = 205.06 : x
  2. Step 2: Convert to fraction form
    448.58/672.79 = 205.06/x
  3. Step 3: Cross multiply
    448.58x = 672.79 × 205.06
  4. Step 4: Simplify right side
    448.58x = 137,962.32
  5. Step 5: Solve for x
    x = 137,962.32/448.58
  6. Step 6: Final answer
    x = 307.55

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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.