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Finding the Fourth Proportional to 359.89, 496.65 and 204.64

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Solution

The fourth proportional to 359.89, 496.65 and 204.64 is: 282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.89 : 496.65 = 204.64 : x
  2. Step 2: Convert to fraction form
    359.89/496.65 = 204.64/x
  3. Step 3: Cross multiply
    359.89x = 496.65 × 204.64
  4. Step 4: Simplify right side
    359.89x = 101,634.46
  5. Step 5: Solve for x
    x = 101,634.46/359.89
  6. Step 6: Final answer
    x = 282.40

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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.