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Finding the Fourth Proportional to 448.21, 672.54 and 303.64

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Solution

The fourth proportional to 448.21, 672.54 and 303.64 is: 455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.21 : 672.54 = 303.64 : x
  2. Step 2: Convert to fraction form
    448.21/672.54 = 303.64/x
  3. Step 3: Cross multiply
    448.21x = 672.54 × 303.64
  4. Step 4: Simplify right side
    448.21x = 204,210.05
  5. Step 5: Solve for x
    x = 204,210.05/448.21
  6. Step 6: Final answer
    x = 455.61

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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.