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Finding the Fourth Proportional to 903.43, 1,354.66 and 278.62

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Solution

The fourth proportional to 903.43, 1,354.66 and 278.62 is: 417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.43 : 1,354.66 = 278.62 : x
  2. Step 2: Convert to fraction form
    903.43/1,354.66 = 278.62/x
  3. Step 3: Cross multiply
    903.43x = 1,354.66 × 278.62
  4. Step 4: Simplify right side
    903.43x = 377,435.37
  5. Step 5: Solve for x
    x = 377,435.37/903.43
  6. Step 6: Final answer
    x = 417.78

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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.