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Finding the Fourth Proportional to 662.28, 913.98 and 465.85

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Solution

The fourth proportional to 662.28, 913.98 and 465.85 is: 642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.28 : 913.98 = 465.85 : x
  2. Step 2: Convert to fraction form
    662.28/913.98 = 465.85/x
  3. Step 3: Cross multiply
    662.28x = 913.98 × 465.85
  4. Step 4: Simplify right side
    662.28x = 425,780.47
  5. Step 5: Solve for x
    x = 425,780.47/662.28
  6. Step 6: Final answer
    x = 642.90

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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.