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Finding the Fourth Proportional to 465.94, 698.55 and 425.80

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Solution

The fourth proportional to 465.94, 698.55 and 425.80 is: 638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 698.55 = 425.80 : x
  2. Step 2: Convert to fraction form
    465.94/698.55 = 425.80/x
  3. Step 3: Cross multiply
    465.94x = 698.55 × 425.80
  4. Step 4: Simplify right side
    465.94x = 297,442.59
  5. Step 5: Solve for x
    x = 297,442.59/465.94
  6. Step 6: Final answer
    x = 638.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.