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Finding the Fourth Proportional to 366.12, 548.10 and 293.76

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Solution

The fourth proportional to 366.12, 548.10 and 293.76 is: 439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.12 : 548.10 = 293.76 : x
  2. Step 2: Convert to fraction form
    366.12/548.10 = 293.76/x
  3. Step 3: Cross multiply
    366.12x = 548.10 × 293.76
  4. Step 4: Simplify right side
    366.12x = 161,009.86
  5. Step 5: Solve for x
    x = 161,009.86/366.12
  6. Step 6: Final answer
    x = 439.77

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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.