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Finding the Fourth Proportional to 378.98, 523.50 and 314.28

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Solution

The fourth proportional to 378.98, 523.50 and 314.28 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.98 : 523.50 = 314.28 : x
  2. Step 2: Convert to fraction form
    378.98/523.50 = 314.28/x
  3. Step 3: Cross multiply
    378.98x = 523.50 × 314.28
  4. Step 4: Simplify right side
    378.98x = 164,525.58
  5. Step 5: Solve for x
    x = 164,525.58/378.98
  6. Step 6: Final answer
    x = 434.13

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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.