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Finding the Fourth Proportional to 522.18, 719.84 and 374.56

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Solution

The fourth proportional to 522.18, 719.84 and 374.56 is: 516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.18 : 719.84 = 374.56 : x
  2. Step 2: Convert to fraction form
    522.18/719.84 = 374.56/x
  3. Step 3: Cross multiply
    522.18x = 719.84 × 374.56
  4. Step 4: Simplify right side
    522.18x = 269,622.41
  5. Step 5: Solve for x
    x = 269,622.41/522.18
  6. Step 6: Final answer
    x = 516.34

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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.