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Finding the Fourth Proportional to 360.25, 497.13 and 212.89

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Solution

The fourth proportional to 360.25, 497.13 and 212.89 is: 293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.25 : 497.13 = 212.89 : x
  2. Step 2: Convert to fraction form
    360.25/497.13 = 212.89/x
  3. Step 3: Cross multiply
    360.25x = 497.13 × 212.89
  4. Step 4: Simplify right side
    360.25x = 105,831.52
  5. Step 5: Solve for x
    x = 105,831.52/360.25
  6. Step 6: Final answer
    x = 293.78

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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.