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Finding the Fourth Proportional to 521.91, 719.91 and 344.87

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Solution

The fourth proportional to 521.91, 719.91 and 344.87 is: 475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 719.91 = 344.87 : x
  2. Step 2: Convert to fraction form
    521.91/719.91 = 344.87/x
  3. Step 3: Cross multiply
    521.91x = 719.91 × 344.87
  4. Step 4: Simplify right side
    521.91x = 248,274.42
  5. Step 5: Solve for x
    x = 248,274.42/521.91
  6. Step 6: Final answer
    x = 475.71

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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.