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Finding the Fourth Proportional to 479.71, 662.06 and 314.06

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Solution

The fourth proportional to 479.71, 662.06 and 314.06 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.71 : 662.06 = 314.06 : x
  2. Step 2: Convert to fraction form
    479.71/662.06 = 314.06/x
  3. Step 3: Cross multiply
    479.71x = 662.06 × 314.06
  4. Step 4: Simplify right side
    479.71x = 207,924.99
  5. Step 5: Solve for x
    x = 207,924.99/479.71
  6. Step 6: Final answer
    x = 433.44

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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.