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Finding the Fourth Proportional to 401.28, 554.41 and 302.86

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Solution

The fourth proportional to 401.28, 554.41 and 302.86 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.28 : 554.41 = 302.86 : x
  2. Step 2: Convert to fraction form
    401.28/554.41 = 302.86/x
  3. Step 3: Cross multiply
    401.28x = 554.41 × 302.86
  4. Step 4: Simplify right side
    401.28x = 167,908.61
  5. Step 5: Solve for x
    x = 167,908.61/401.28
  6. Step 6: Final answer
    x = 418.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.