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Finding the Fourth Proportional to 903.48, 1,354.77 and 441.29

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Solution

The fourth proportional to 903.48, 1,354.77 and 441.29 is: 661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.48 : 1,354.77 = 441.29 : x
  2. Step 2: Convert to fraction form
    903.48/1,354.77 = 441.29/x
  3. Step 3: Cross multiply
    903.48x = 1,354.77 × 441.29
  4. Step 4: Simplify right side
    903.48x = 597,839.68
  5. Step 5: Solve for x
    x = 597,839.68/903.48
  6. Step 6: Final answer
    x = 661.71

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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.