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Finding the Fourth Proportional to 521.40, 719.78 and 374.12

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Solution

The fourth proportional to 521.40, 719.78 and 374.12 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.40 : 719.78 = 374.12 : x
  2. Step 2: Convert to fraction form
    521.40/719.78 = 374.12/x
  3. Step 3: Cross multiply
    521.40x = 719.78 × 374.12
  4. Step 4: Simplify right side
    521.40x = 269,278.62
  5. Step 5: Solve for x
    x = 269,278.62/521.40
  6. Step 6: Final answer
    x = 516.45

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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.