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Finding the Fourth Proportional to 485.51, 727.57 and 280.13

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Solution

The fourth proportional to 485.51, 727.57 and 280.13 is: 419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.51 : 727.57 = 280.13 : x
  2. Step 2: Convert to fraction form
    485.51/727.57 = 280.13/x
  3. Step 3: Cross multiply
    485.51x = 727.57 × 280.13
  4. Step 4: Simplify right side
    485.51x = 203,815.30
  5. Step 5: Solve for x
    x = 203,815.30/485.51
  6. Step 6: Final answer
    x = 419.79

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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.