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Finding the Fourth Proportional to 459.92, 634.83 and 282.98

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Solution

The fourth proportional to 459.92, 634.83 and 282.98 is: 390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 634.83 = 282.98 : x
  2. Step 2: Convert to fraction form
    459.92/634.83 = 282.98/x
  3. Step 3: Cross multiply
    459.92x = 634.83 × 282.98
  4. Step 4: Simplify right side
    459.92x = 179,644.19
  5. Step 5: Solve for x
    x = 179,644.19/459.92
  6. Step 6: Final answer
    x = 390.60

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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.