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Finding the Fourth Proportional to 662.28, 912.92 and 522.14

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Solution

The fourth proportional to 662.28, 912.92 and 522.14 is: 719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.28 : 912.92 = 522.14 : x
  2. Step 2: Convert to fraction form
    662.28/912.92 = 522.14/x
  3. Step 3: Cross multiply
    662.28x = 912.92 × 522.14
  4. Step 4: Simplify right side
    662.28x = 476,672.05
  5. Step 5: Solve for x
    x = 476,672.05/662.28
  6. Step 6: Final answer
    x = 719.74

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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.