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Finding the Fourth Proportional to 479.82, 661.92 and 293.16

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Solution

The fourth proportional to 479.82, 661.92 and 293.16 is: 404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.82 : 661.92 = 293.16 : x
  2. Step 2: Convert to fraction form
    479.82/661.92 = 293.16/x
  3. Step 3: Cross multiply
    479.82x = 661.92 × 293.16
  4. Step 4: Simplify right side
    479.82x = 194,048.47
  5. Step 5: Solve for x
    x = 194,048.47/479.82
  6. Step 6: Final answer
    x = 404.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.