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Finding the Fourth Proportional to 380.47, 525.03 and 212.41

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Solution

The fourth proportional to 380.47, 525.03 and 212.41 is: 293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.47 : 525.03 = 212.41 : x
  2. Step 2: Convert to fraction form
    380.47/525.03 = 212.41/x
  3. Step 3: Cross multiply
    380.47x = 525.03 × 212.41
  4. Step 4: Simplify right side
    380.47x = 111,519.51
  5. Step 5: Solve for x
    x = 111,519.51/380.47
  6. Step 6: Final answer
    x = 293.11

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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.