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Finding the Fourth Proportional to 485.37, 727.14 and 376.65

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Solution

The fourth proportional to 485.37, 727.14 and 376.65 is: 564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.37 : 727.14 = 376.65 : x
  2. Step 2: Convert to fraction form
    485.37/727.14 = 376.65/x
  3. Step 3: Cross multiply
    485.37x = 727.14 × 376.65
  4. Step 4: Simplify right side
    485.37x = 273,877.28
  5. Step 5: Solve for x
    x = 273,877.28/485.37
  6. Step 6: Final answer
    x = 564.26

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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.