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Finding the Fourth Proportional to 360.84, 497.92 and 213.45

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Solution

The fourth proportional to 360.84, 497.92 and 213.45 is: 294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.84 : 497.92 = 213.45 : x
  2. Step 2: Convert to fraction form
    360.84/497.92 = 213.45/x
  3. Step 3: Cross multiply
    360.84x = 497.92 × 213.45
  4. Step 4: Simplify right side
    360.84x = 106,279.07
  5. Step 5: Solve for x
    x = 106,279.07/360.84
  6. Step 6: Final answer
    x = 294.53

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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.