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Finding the Fourth Proportional to 360.65, 497.69 and 211.30

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Solution

The fourth proportional to 360.65, 497.69 and 211.30 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.65 : 497.69 = 211.30 : x
  2. Step 2: Convert to fraction form
    360.65/497.69 = 211.30/x
  3. Step 3: Cross multiply
    360.65x = 497.69 × 211.30
  4. Step 4: Simplify right side
    360.65x = 105,161.90
  5. Step 5: Solve for x
    x = 105,161.90/360.65
  6. Step 6: Final answer
    x = 291.59

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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.