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Finding the Fourth Proportional to 360.49, 497.47 and 203.17

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Solution

The fourth proportional to 360.49, 497.47 and 203.17 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.49 : 497.47 = 203.17 : x
  2. Step 2: Convert to fraction form
    360.49/497.47 = 203.17/x
  3. Step 3: Cross multiply
    360.49x = 497.47 × 203.17
  4. Step 4: Simplify right side
    360.49x = 101,070.54
  5. Step 5: Solve for x
    x = 101,070.54/360.49
  6. Step 6: Final answer
    x = 280.37

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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.