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Finding the Fourth Proportional to 310.51, 463.60 and 273.60

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Solution

The fourth proportional to 310.51, 463.60 and 273.60 is: 408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.51 : 463.60 = 273.60 : x
  2. Step 2: Convert to fraction form
    310.51/463.60 = 273.60/x
  3. Step 3: Cross multiply
    310.51x = 463.60 × 273.60
  4. Step 4: Simplify right side
    310.51x = 126,841.84
  5. Step 5: Solve for x
    x = 126,841.84/310.51
  6. Step 6: Final answer
    x = 408.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.