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Finding the Fourth Proportional to 479.79, 719.00 and 274.43

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Solution

The fourth proportional to 479.79, 719.00 and 274.43 is: 411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.79 : 719.00 = 274.43 : x
  2. Step 2: Convert to fraction form
    479.79/719.00 = 274.43/x
  3. Step 3: Cross multiply
    479.79x = 719.00 × 274.43
  4. Step 4: Simplify right side
    479.79x = 197,310.20
  5. Step 5: Solve for x
    x = 197,310.20/479.79
  6. Step 6: Final answer
    x = 411.24

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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.