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Finding the Fourth Proportional to 483.76, 667.68 and 459.52

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Solution

The fourth proportional to 483.76, 667.68 and 459.52 is: 634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 667.68 = 459.52 : x
  2. Step 2: Convert to fraction form
    483.76/667.68 = 459.52/x
  3. Step 3: Cross multiply
    483.76x = 667.68 × 459.52
  4. Step 4: Simplify right side
    483.76x = 306,812.31
  5. Step 5: Solve for x
    x = 306,812.31/483.76
  6. Step 6: Final answer
    x = 634.22

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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.