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Finding the Fourth Proportional to 448.51, 672.78 and 256.27

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Solution

The fourth proportional to 448.51, 672.78 and 256.27 is: 384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 672.78 = 256.27 : x
  2. Step 2: Convert to fraction form
    448.51/672.78 = 256.27/x
  3. Step 3: Cross multiply
    448.51x = 672.78 × 256.27
  4. Step 4: Simplify right side
    448.51x = 172,413.33
  5. Step 5: Solve for x
    x = 172,413.33/448.51
  6. Step 6: Final answer
    x = 384.41

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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.