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Finding the Fourth Proportional to 479.82, 662.37 and 314.28

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Solution

The fourth proportional to 479.82, 662.37 and 314.28 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.82 : 662.37 = 314.28 : x
  2. Step 2: Convert to fraction form
    479.82/662.37 = 314.28/x
  3. Step 3: Cross multiply
    479.82x = 662.37 × 314.28
  4. Step 4: Simplify right side
    479.82x = 208,169.64
  5. Step 5: Solve for x
    x = 208,169.64/479.82
  6. Step 6: Final answer
    x = 433.85

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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.