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Finding the Fourth Proportional to 401.05, 553.32 and 261.35

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Solution

The fourth proportional to 401.05, 553.32 and 261.35 is: 360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.05 : 553.32 = 261.35 : x
  2. Step 2: Convert to fraction form
    401.05/553.32 = 261.35/x
  3. Step 3: Cross multiply
    401.05x = 553.32 × 261.35
  4. Step 4: Simplify right side
    401.05x = 144,610.68
  5. Step 5: Solve for x
    x = 144,610.68/401.05
  6. Step 6: Final answer
    x = 360.58

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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.