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Finding the Fourth Proportional to 359.92, 538.44 and 287.92

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Solution

The fourth proportional to 359.92, 538.44 and 287.92 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.92 : 538.44 = 287.92 : x
  2. Step 2: Convert to fraction form
    359.92/538.44 = 287.92/x
  3. Step 3: Cross multiply
    359.92x = 538.44 × 287.92
  4. Step 4: Simplify right side
    359.92x = 155,027.64
  5. Step 5: Solve for x
    x = 155,027.64/359.92
  6. Step 6: Final answer
    x = 430.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.