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Finding the Fourth Proportional to 485.03, 727.41 and 456.28

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Solution

The fourth proportional to 485.03, 727.41 and 456.28 is: 684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.03 : 727.41 = 456.28 : x
  2. Step 2: Convert to fraction form
    485.03/727.41 = 456.28/x
  3. Step 3: Cross multiply
    485.03x = 727.41 × 456.28
  4. Step 4: Simplify right side
    485.03x = 331,902.63
  5. Step 5: Solve for x
    x = 331,902.63/485.03
  6. Step 6: Final answer
    x = 684.29

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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.