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Finding the Fourth Proportional to 401, 552.03 and 302.45

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Solution

The fourth proportional to 401, 552.03 and 302.45 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401 : 552.03 = 302.45 : x
  2. Step 2: Convert to fraction form
    401/552.03 = 302.45/x
  3. Step 3: Cross multiply
    401x = 552.03 × 302.45
  4. Step 4: Simplify right side
    401x = 166,961.47
  5. Step 5: Solve for x
    x = 166,961.47/401
  6. Step 6: Final answer
    x = 416.36

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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.