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Finding the Fourth Proportional to 386.50, 533.64 and 269.86

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Solution

The fourth proportional to 386.50, 533.64 and 269.86 is: 372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.50 : 533.64 = 269.86 : x
  2. Step 2: Convert to fraction form
    386.50/533.64 = 269.86/x
  3. Step 3: Cross multiply
    386.50x = 533.64 × 269.86
  4. Step 4: Simplify right side
    386.50x = 144,008.09
  5. Step 5: Solve for x
    x = 144,008.09/386.50
  6. Step 6: Final answer
    x = 372.60

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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.