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Finding the Fourth Proportional to 459, 633.69 and 304.02

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Solution

The fourth proportional to 459, 633.69 and 304.02 is: 419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 633.69 = 304.02 : x
  2. Step 2: Convert to fraction form
    459/633.69 = 304.02/x
  3. Step 3: Cross multiply
    459x = 633.69 × 304.02
  4. Step 4: Simplify right side
    459x = 192,654.43
  5. Step 5: Solve for x
    x = 192,654.43/459
  6. Step 6: Final answer
    x = 419.73

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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.