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Finding the Fourth Proportional to 293.10, 437.05 and 273.24

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Solution

The fourth proportional to 293.10, 437.05 and 273.24 is: 407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 437.05 = 273.24 : x
  2. Step 2: Convert to fraction form
    293.10/437.05 = 273.24/x
  3. Step 3: Cross multiply
    293.10x = 437.05 × 273.24
  4. Step 4: Simplify right side
    293.10x = 119,419.54
  5. Step 5: Solve for x
    x = 119,419.54/293.10
  6. Step 6: Final answer
    x = 407.44

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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.