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Finding the Fourth Proportional to 401.82, 602.54 and 280.14

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Solution

The fourth proportional to 401.82, 602.54 and 280.14 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.82 : 602.54 = 280.14 : x
  2. Step 2: Convert to fraction form
    401.82/602.54 = 280.14/x
  3. Step 3: Cross multiply
    401.82x = 602.54 × 280.14
  4. Step 4: Simplify right side
    401.82x = 168,795.56
  5. Step 5: Solve for x
    x = 168,795.56/401.82
  6. Step 6: Final answer
    x = 420.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.