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Finding the Fourth Proportional to 468.62, 703.62 and 263.60

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Solution

The fourth proportional to 468.62, 703.62 and 263.60 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.62 : 703.62 = 263.60 : x
  2. Step 2: Convert to fraction form
    468.62/703.62 = 263.60/x
  3. Step 3: Cross multiply
    468.62x = 703.62 × 263.60
  4. Step 4: Simplify right side
    468.62x = 185,470.71
  5. Step 5: Solve for x
    x = 185,470.71/468.62
  6. Step 6: Final answer
    x = 395.78

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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.