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Finding the Fourth Proportional to 386.41, 533.13 and 229.00

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Solution

The fourth proportional to 386.41, 533.13 and 229.00 is: 315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.41 : 533.13 = 229.00 : x
  2. Step 2: Convert to fraction form
    386.41/533.13 = 229.00/x
  3. Step 3: Cross multiply
    386.41x = 533.13 × 229.00
  4. Step 4: Simplify right side
    386.41x = 122,084.10
  5. Step 5: Solve for x
    x = 122,084.10/386.41
  6. Step 6: Final answer
    x = 315.95

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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.