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Finding the Fourth Proportional to 401.76, 554.24 and 261.84

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Solution

The fourth proportional to 401.76, 554.24 and 261.84 is: 361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 554.24 = 261.84 : x
  2. Step 2: Convert to fraction form
    401.76/554.24 = 261.84/x
  3. Step 3: Cross multiply
    401.76x = 554.24 × 261.84
  4. Step 4: Simplify right side
    401.76x = 145,120.89
  5. Step 5: Solve for x
    x = 145,120.89/401.76
  6. Step 6: Final answer
    x = 361.21

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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.