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Finding the Fourth Proportional to 459.23, 633.86 and 284.47

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Solution

The fourth proportional to 459.23, 633.86 and 284.47 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.23 : 633.86 = 284.47 : x
  2. Step 2: Convert to fraction form
    459.23/633.86 = 284.47/x
  3. Step 3: Cross multiply
    459.23x = 633.86 × 284.47
  4. Step 4: Simplify right side
    459.23x = 180,314.15
  5. Step 5: Solve for x
    x = 180,314.15/459.23
  6. Step 6: Final answer
    x = 392.64

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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.