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Finding the Fourth Proportional to 479.94, 719.38 and 306.06

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Solution

The fourth proportional to 479.94, 719.38 and 306.06 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.94 : 719.38 = 306.06 : x
  2. Step 2: Convert to fraction form
    479.94/719.38 = 306.06/x
  3. Step 3: Cross multiply
    479.94x = 719.38 × 306.06
  4. Step 4: Simplify right side
    479.94x = 220,173.44
  5. Step 5: Solve for x
    x = 220,173.44/479.94
  6. Step 6: Final answer
    x = 458.75

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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.