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Finding the Fourth Proportional to 386.50, 533.38 and 229.06

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Solution

The fourth proportional to 386.50, 533.38 and 229.06 is: 316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.50 : 533.38 = 229.06 : x
  2. Step 2: Convert to fraction form
    386.50/533.38 = 229.06/x
  3. Step 3: Cross multiply
    386.50x = 533.38 × 229.06
  4. Step 4: Simplify right side
    386.50x = 122,176.02
  5. Step 5: Solve for x
    x = 122,176.02/386.50
  6. Step 6: Final answer
    x = 316.11

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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.