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Finding the Fourth Proportional to 307.60, 461.40 and 273.40

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Solution

The fourth proportional to 307.60, 461.40 and 273.40 is: 410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.60 : 461.40 = 273.40 : x
  2. Step 2: Convert to fraction form
    307.60/461.40 = 273.40/x
  3. Step 3: Cross multiply
    307.60x = 461.40 × 273.40
  4. Step 4: Simplify right side
    307.60x = 126,146.76
  5. Step 5: Solve for x
    x = 126,146.76/307.60
  6. Step 6: Final answer
    x = 410.10

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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.