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Finding the Fourth Proportional to 453.81, 626.16 and 262.14

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Solution

The fourth proportional to 453.81, 626.16 and 262.14 is: 361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.81 : 626.16 = 262.14 : x
  2. Step 2: Convert to fraction form
    453.81/626.16 = 262.14/x
  3. Step 3: Cross multiply
    453.81x = 626.16 × 262.14
  4. Step 4: Simplify right side
    453.81x = 164,141.58
  5. Step 5: Solve for x
    x = 164,141.58/453.81
  6. Step 6: Final answer
    x = 361.70

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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.