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Finding the Fourth Proportional to 662.10, 913.39 and 465.73

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Solution

The fourth proportional to 662.10, 913.39 and 465.73 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.10 : 913.39 = 465.73 : x
  2. Step 2: Convert to fraction form
    662.10/913.39 = 465.73/x
  3. Step 3: Cross multiply
    662.10x = 913.39 × 465.73
  4. Step 4: Simplify right side
    662.10x = 425,393.12
  5. Step 5: Solve for x
    x = 425,393.12/662.10
  6. Step 6: Final answer
    x = 642.49

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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.