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Finding the Fourth Proportional to 448.32, 672.96 and 256

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Solution

The fourth proportional to 448.32, 672.96 and 256 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 672.96 = 256 : x
  2. Step 2: Convert to fraction form
    448.32/672.96 = 256/x
  3. Step 3: Cross multiply
    448.32x = 672.96 × 256
  4. Step 4: Simplify right side
    448.32x = 172,277.76
  5. Step 5: Solve for x
    x = 172,277.76/448.32
  6. Step 6: Final answer
    x = 384.27

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