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Finding the Fourth Proportional to 459.21, 633.81 and 284.43

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Solution

The fourth proportional to 459.21, 633.81 and 284.43 is: 392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.21 : 633.81 = 284.43 : x
  2. Step 2: Convert to fraction form
    459.21/633.81 = 284.43/x
  3. Step 3: Cross multiply
    459.21x = 633.81 × 284.43
  4. Step 4: Simplify right side
    459.21x = 180,274.58
  5. Step 5: Solve for x
    x = 180,274.58/459.21
  6. Step 6: Final answer
    x = 392.58

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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.