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Finding the Fourth Proportional to 380.12, 525.56 and 347.31

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Solution

The fourth proportional to 380.12, 525.56 and 347.31 is: 480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 525.56 = 347.31 : x
  2. Step 2: Convert to fraction form
    380.12/525.56 = 347.31/x
  3. Step 3: Cross multiply
    380.12x = 525.56 × 347.31
  4. Step 4: Simplify right side
    380.12x = 182,530.51
  5. Step 5: Solve for x
    x = 182,530.51/380.12
  6. Step 6: Final answer
    x = 480.20

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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.