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Finding the Fourth Proportional to 360.33, 497.33 and 213.06

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Solution

The fourth proportional to 360.33, 497.33 and 213.06 is: 294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.33 : 497.33 = 213.06 : x
  2. Step 2: Convert to fraction form
    360.33/497.33 = 213.06/x
  3. Step 3: Cross multiply
    360.33x = 497.33 × 213.06
  4. Step 4: Simplify right side
    360.33x = 105,961.13
  5. Step 5: Solve for x
    x = 105,961.13/360.33
  6. Step 6: Final answer
    x = 294.07

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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.