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Finding the Fourth Proportional to 492.26, 678.93 and 459.14

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Solution

The fourth proportional to 492.26, 678.93 and 459.14 is: 633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.26 : 678.93 = 459.14 : x
  2. Step 2: Convert to fraction form
    492.26/678.93 = 459.14/x
  3. Step 3: Cross multiply
    492.26x = 678.93 × 459.14
  4. Step 4: Simplify right side
    492.26x = 311,723.92
  5. Step 5: Solve for x
    x = 311,723.92/492.26
  6. Step 6: Final answer
    x = 633.25

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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.