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Finding the Fourth Proportional to 253.29, 382.80 and 253.29

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Solution

The fourth proportional to 253.29, 382.80 and 253.29 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.29 : 382.80 = 253.29 : x
  2. Step 2: Convert to fraction form
    253.29/382.80 = 253.29/x
  3. Step 3: Cross multiply
    253.29x = 382.80 × 253.29
  4. Step 4: Simplify right side
    253.29x = 96,959.41
  5. Step 5: Solve for x
    x = 96,959.41/253.29
  6. Step 6: Final answer
    x = 382.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.