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Finding the Fourth Proportional to 400.90, 553.26 and 261.04

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Solution

The fourth proportional to 400.90, 553.26 and 261.04 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.90 : 553.26 = 261.04 : x
  2. Step 2: Convert to fraction form
    400.90/553.26 = 261.04/x
  3. Step 3: Cross multiply
    400.90x = 553.26 × 261.04
  4. Step 4: Simplify right side
    400.90x = 144,422.99
  5. Step 5: Solve for x
    x = 144,422.99/400.90
  6. Step 6: Final answer
    x = 360.25

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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.