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Finding the Fourth Proportional to 293.61, 437.57 and 274.48

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Solution

The fourth proportional to 293.61, 437.57 and 274.48 is: 409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.61 : 437.57 = 274.48 : x
  2. Step 2: Convert to fraction form
    293.61/437.57 = 274.48/x
  3. Step 3: Cross multiply
    293.61x = 437.57 × 274.48
  4. Step 4: Simplify right side
    293.61x = 120,104.21
  5. Step 5: Solve for x
    x = 120,104.21/293.61
  6. Step 6: Final answer
    x = 409.06

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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.