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Finding the Fourth Proportional to 401.04, 553.64 and 276.80

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Solution

The fourth proportional to 401.04, 553.64 and 276.80 is: 382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.04 : 553.64 = 276.80 : x
  2. Step 2: Convert to fraction form
    401.04/553.64 = 276.80/x
  3. Step 3: Cross multiply
    401.04x = 553.64 × 276.80
  4. Step 4: Simplify right side
    401.04x = 153,243.40
  5. Step 5: Solve for x
    x = 153,243.40/401.04
  6. Step 6: Final answer
    x = 382.12

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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.