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Finding the Fourth Proportional to 604.41, 906.91 and 280

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Solution

The fourth proportional to 604.41, 906.91 and 280 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.41 : 906.91 = 280 : x
  2. Step 2: Convert to fraction form
    604.41/906.91 = 280/x
  3. Step 3: Cross multiply
    604.41x = 906.91 × 280
  4. Step 4: Simplify right side
    604.41x = 253,934.80
  5. Step 5: Solve for x
    x = 253,934.80/604.41
  6. Step 6: Final answer
    x = 420.14

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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.