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Finding the Fourth Proportional to 378.44, 521.98 and 347.45

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Solution

The fourth proportional to 378.44, 521.98 and 347.45 is: 479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 521.98 = 347.45 : x
  2. Step 2: Convert to fraction form
    378.44/521.98 = 347.45/x
  3. Step 3: Cross multiply
    378.44x = 521.98 × 347.45
  4. Step 4: Simplify right side
    378.44x = 181,361.95
  5. Step 5: Solve for x
    x = 181,361.95/378.44
  6. Step 6: Final answer
    x = 479.24

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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.