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Finding the Fourth Proportional to 662.70, 913.46 and 522.58

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Solution

The fourth proportional to 662.70, 913.46 and 522.58 is: 720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.70 : 913.46 = 522.58 : x
  2. Step 2: Convert to fraction form
    662.70/913.46 = 522.58/x
  3. Step 3: Cross multiply
    662.70x = 913.46 × 522.58
  4. Step 4: Simplify right side
    662.70x = 477,355.93
  5. Step 5: Solve for x
    x = 477,355.93/662.70
  6. Step 6: Final answer
    x = 720.32

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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.