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Finding the Fourth Proportional to 459.52, 633.61 and 333.23

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Solution

The fourth proportional to 459.52, 633.61 and 333.23 is: 459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.52 : 633.61 = 333.23 : x
  2. Step 2: Convert to fraction form
    459.52/633.61 = 333.23/x
  3. Step 3: Cross multiply
    459.52x = 633.61 × 333.23
  4. Step 4: Simplify right side
    459.52x = 211,135.11
  5. Step 5: Solve for x
    x = 211,135.11/459.52
  6. Step 6: Final answer
    x = 459.47

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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.