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Finding the Fourth Proportional to 903.97, 1,355.93 and 279.27

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Solution

The fourth proportional to 903.97, 1,355.93 and 279.27 is: 418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.97 : 1,355.93 = 279.27 : x
  2. Step 2: Convert to fraction form
    903.97/1,355.93 = 279.27/x
  3. Step 3: Cross multiply
    903.97x = 1,355.93 × 279.27
  4. Step 4: Simplify right side
    903.97x = 378,671.27
  5. Step 5: Solve for x
    x = 378,671.27/903.97
  6. Step 6: Final answer
    x = 418.90

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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.