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Finding the Fourth Proportional to 459.48, 634.05 and 361.47

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Solution

The fourth proportional to 459.48, 634.05 and 361.47 is: 498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 634.05 = 361.47 : x
  2. Step 2: Convert to fraction form
    459.48/634.05 = 361.47/x
  3. Step 3: Cross multiply
    459.48x = 634.05 × 361.47
  4. Step 4: Simplify right side
    459.48x = 229,190.05
  5. Step 5: Solve for x
    x = 229,190.05/459.48
  6. Step 6: Final answer
    x = 498.80

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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.