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Finding the Fourth Proportional to 419.69, 579.42 and 280.01

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Solution

The fourth proportional to 419.69, 579.42 and 280.01 is: 386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 579.42 = 280.01 : x
  2. Step 2: Convert to fraction form
    419.69/579.42 = 280.01/x
  3. Step 3: Cross multiply
    419.69x = 579.42 × 280.01
  4. Step 4: Simplify right side
    419.69x = 162,244.84
  5. Step 5: Solve for x
    x = 162,244.84/419.69
  6. Step 6: Final answer
    x = 386.58

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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.