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Finding the Fourth Proportional to 479.14, 718.71 and 309.22

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Solution

The fourth proportional to 479.14, 718.71 and 309.22 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.14 : 718.71 = 309.22 : x
  2. Step 2: Convert to fraction form
    479.14/718.71 = 309.22/x
  3. Step 3: Cross multiply
    479.14x = 718.71 × 309.22
  4. Step 4: Simplify right side
    479.14x = 222,239.51
  5. Step 5: Solve for x
    x = 222,239.51/479.14
  6. Step 6: Final answer
    x = 463.83

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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.