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Finding the Fourth Proportional to 397.50, 548.13 and 314.47

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Solution

The fourth proportional to 397.50, 548.13 and 314.47 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 548.13 = 314.47 : x
  2. Step 2: Convert to fraction form
    397.50/548.13 = 314.47/x
  3. Step 3: Cross multiply
    397.50x = 548.13 × 314.47
  4. Step 4: Simplify right side
    397.50x = 172,370.44
  5. Step 5: Solve for x
    x = 172,370.44/397.50
  6. Step 6: Final answer
    x = 433.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.