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Finding the Fourth Proportional to 482.25, 665.48 and 272.47

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Solution

The fourth proportional to 482.25, 665.48 and 272.47 is: 375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 665.48 = 272.47 : x
  2. Step 2: Convert to fraction form
    482.25/665.48 = 272.47/x
  3. Step 3: Cross multiply
    482.25x = 665.48 × 272.47
  4. Step 4: Simplify right side
    482.25x = 181,323.34
  5. Step 5: Solve for x
    x = 181,323.34/482.25
  6. Step 6: Final answer
    x = 375.99

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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.