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Finding the Fourth Proportional to 400.49, 553.01 and 260.73

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Solution

The fourth proportional to 400.49, 553.01 and 260.73 is: 360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.49 : 553.01 = 260.73 : x
  2. Step 2: Convert to fraction form
    400.49/553.01 = 260.73/x
  3. Step 3: Cross multiply
    400.49x = 553.01 × 260.73
  4. Step 4: Simplify right side
    400.49x = 144,188.34
  5. Step 5: Solve for x
    x = 144,188.34/400.49
  6. Step 6: Final answer
    x = 360.03

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