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Finding the Fourth Proportional to 482.25, 665.49 and 269.53

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Solution

The fourth proportional to 482.25, 665.49 and 269.53 is: 371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 665.49 = 269.53 : x
  2. Step 2: Convert to fraction form
    482.25/665.49 = 269.53/x
  3. Step 3: Cross multiply
    482.25x = 665.49 × 269.53
  4. Step 4: Simplify right side
    482.25x = 179,368.46
  5. Step 5: Solve for x
    x = 179,368.46/482.25
  6. Step 6: Final answer
    x = 371.94

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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.