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Finding the Fourth Proportional to 380.79, 525.50 and 206.14

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Solution

The fourth proportional to 380.79, 525.50 and 206.14 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.79 : 525.50 = 206.14 : x
  2. Step 2: Convert to fraction form
    380.79/525.50 = 206.14/x
  3. Step 3: Cross multiply
    380.79x = 525.50 × 206.14
  4. Step 4: Simplify right side
    380.79x = 108,325.47
  5. Step 5: Solve for x
    x = 108,325.47/380.79
  6. Step 6: Final answer
    x = 284.47

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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.