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Finding the Fourth Proportional to 359.32, 494.32 and 293.68

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Solution

The fourth proportional to 359.32, 494.32 and 293.68 is: 404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.32 : 494.32 = 293.68 : x
  2. Step 2: Convert to fraction form
    359.32/494.32 = 293.68/x
  3. Step 3: Cross multiply
    359.32x = 494.32 × 293.68
  4. Step 4: Simplify right side
    359.32x = 145,171.90
  5. Step 5: Solve for x
    x = 145,171.90/359.32
  6. Step 6: Final answer
    x = 404.02

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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.