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Finding the Fourth Proportional to 366.30, 548.73 and 314.64

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Solution

The fourth proportional to 366.30, 548.73 and 314.64 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.30 : 548.73 = 314.64 : x
  2. Step 2: Convert to fraction form
    366.30/548.73 = 314.64/x
  3. Step 3: Cross multiply
    366.30x = 548.73 × 314.64
  4. Step 4: Simplify right side
    366.30x = 172,652.41
  5. Step 5: Solve for x
    x = 172,652.41/366.30
  6. Step 6: Final answer
    x = 471.34

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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.