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Finding the Fourth Proportional to 308.01, 459.38 and 280.47

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Solution

The fourth proportional to 308.01, 459.38 and 280.47 is: 418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.01 : 459.38 = 280.47 : x
  2. Step 2: Convert to fraction form
    308.01/459.38 = 280.47/x
  3. Step 3: Cross multiply
    308.01x = 459.38 × 280.47
  4. Step 4: Simplify right side
    308.01x = 128,840.91
  5. Step 5: Solve for x
    x = 128,840.91/308.01
  6. Step 6: Final answer
    x = 418.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.