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Finding the Fourth Proportional to 522.06, 719.73 and 374.43

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Solution

The fourth proportional to 522.06, 719.73 and 374.43 is: 516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.06 : 719.73 = 374.43 : x
  2. Step 2: Convert to fraction form
    522.06/719.73 = 374.43/x
  3. Step 3: Cross multiply
    522.06x = 719.73 × 374.43
  4. Step 4: Simplify right side
    522.06x = 269,488.50
  5. Step 5: Solve for x
    x = 269,488.50/522.06
  6. Step 6: Final answer
    x = 516.20

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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.