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Finding the Fourth Proportional to 360.39, 497.36 and 213.08

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Solution

The fourth proportional to 360.39, 497.36 and 213.08 is: 294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.39 : 497.36 = 213.08 : x
  2. Step 2: Convert to fraction form
    360.39/497.36 = 213.08/x
  3. Step 3: Cross multiply
    360.39x = 497.36 × 213.08
  4. Step 4: Simplify right side
    360.39x = 105,975.51
  5. Step 5: Solve for x
    x = 105,975.51/360.39
  6. Step 6: Final answer
    x = 294.06

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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.