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Finding the Fourth Proportional to 521.30, 719.27 and 324.71

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Solution

The fourth proportional to 521.30, 719.27 and 324.71 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.30 : 719.27 = 324.71 : x
  2. Step 2: Convert to fraction form
    521.30/719.27 = 324.71/x
  3. Step 3: Cross multiply
    521.30x = 719.27 × 324.71
  4. Step 4: Simplify right side
    521.30x = 233,548.94
  5. Step 5: Solve for x
    x = 233,548.94/521.30
  6. Step 6: Final answer
    x = 448.02

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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.