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Finding the Fourth Proportional to 459.42, 634.14 and 282.48

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Solution

The fourth proportional to 459.42, 634.14 and 282.48 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 634.14 = 282.48 : x
  2. Step 2: Convert to fraction form
    459.42/634.14 = 282.48/x
  3. Step 3: Cross multiply
    459.42x = 634.14 × 282.48
  4. Step 4: Simplify right side
    459.42x = 179,131.87
  5. Step 5: Solve for x
    x = 179,131.87/459.42
  6. Step 6: Final answer
    x = 389.91

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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.