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Finding the Fourth Proportional to 459.14, 633.46 and 272.64

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Solution

The fourth proportional to 459.14, 633.46 and 272.64 is: 376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 633.46 = 272.64 : x
  2. Step 2: Convert to fraction form
    459.14/633.46 = 272.64/x
  3. Step 3: Cross multiply
    459.14x = 633.46 × 272.64
  4. Step 4: Simplify right side
    459.14x = 172,706.53
  5. Step 5: Solve for x
    x = 172,706.53/459.14
  6. Step 6: Final answer
    x = 376.15

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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.