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Finding the Fourth Proportional to 459, 633.08 and 293.22

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Solution

The fourth proportional to 459, 633.08 and 293.22 is: 404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 633.08 = 293.22 : x
  2. Step 2: Convert to fraction form
    459/633.08 = 293.22/x
  3. Step 3: Cross multiply
    459x = 633.08 × 293.22
  4. Step 4: Simplify right side
    459x = 185,632.45
  5. Step 5: Solve for x
    x = 185,632.45/459
  6. Step 6: Final answer
    x = 404.43

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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.