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Finding the Fourth Proportional to 459.25, 633.81 and 284.65

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Solution

The fourth proportional to 459.25, 633.81 and 284.65 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.25 : 633.81 = 284.65 : x
  2. Step 2: Convert to fraction form
    459.25/633.81 = 284.65/x
  3. Step 3: Cross multiply
    459.25x = 633.81 × 284.65
  4. Step 4: Simplify right side
    459.25x = 180,414.02
  5. Step 5: Solve for x
    x = 180,414.02/459.25
  6. Step 6: Final answer
    x = 392.84

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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.