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Finding the Fourth Proportional to 359.79, 496.47 and 202.42

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Solution

The fourth proportional to 359.79, 496.47 and 202.42 is: 279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.79 : 496.47 = 202.42 : x
  2. Step 2: Convert to fraction form
    359.79/496.47 = 202.42/x
  3. Step 3: Cross multiply
    359.79x = 496.47 × 202.42
  4. Step 4: Simplify right side
    359.79x = 100,495.46
  5. Step 5: Solve for x
    x = 100,495.46/359.79
  6. Step 6: Final answer
    x = 279.32

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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.