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Finding the Fourth Proportional to 521.05, 719.37 and 334.61

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Solution

The fourth proportional to 521.05, 719.37 and 334.61 is: 461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.05 : 719.37 = 334.61 : x
  2. Step 2: Convert to fraction form
    521.05/719.37 = 334.61/x
  3. Step 3: Cross multiply
    521.05x = 719.37 × 334.61
  4. Step 4: Simplify right side
    521.05x = 240,708.40
  5. Step 5: Solve for x
    x = 240,708.40/521.05
  6. Step 6: Final answer
    x = 461.97

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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.