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Finding the Fourth Proportional to 360.56, 497.35 and 213.09

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Solution

The fourth proportional to 360.56, 497.35 and 213.09 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 497.35 = 213.09 : x
  2. Step 2: Convert to fraction form
    360.56/497.35 = 213.09/x
  3. Step 3: Cross multiply
    360.56x = 497.35 × 213.09
  4. Step 4: Simplify right side
    360.56x = 105,980.31
  5. Step 5: Solve for x
    x = 105,980.31/360.56
  6. Step 6: Final answer
    x = 293.93

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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.