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Finding the Fourth Proportional to 401.85, 554.76 and 262.17

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Solution

The fourth proportional to 401.85, 554.76 and 262.17 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.85 : 554.76 = 262.17 : x
  2. Step 2: Convert to fraction form
    401.85/554.76 = 262.17/x
  3. Step 3: Cross multiply
    401.85x = 554.76 × 262.17
  4. Step 4: Simplify right side
    401.85x = 145,441.43
  5. Step 5: Solve for x
    x = 145,441.43/401.85
  6. Step 6: Final answer
    x = 361.93

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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.