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Finding the Fourth Proportional to 400.76, 553.12 and 261.04

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Solution

The fourth proportional to 400.76, 553.12 and 261.04 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.76 : 553.12 = 261.04 : x
  2. Step 2: Convert to fraction form
    400.76/553.12 = 261.04/x
  3. Step 3: Cross multiply
    400.76x = 553.12 × 261.04
  4. Step 4: Simplify right side
    400.76x = 144,386.44
  5. Step 5: Solve for x
    x = 144,386.44/400.76
  6. Step 6: Final answer
    x = 360.28

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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.