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Finding the Fourth Proportional to 521.31, 719.41 and 285.25

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Solution

The fourth proportional to 521.31, 719.41 and 285.25 is: 393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.31 : 719.41 = 285.25 : x
  2. Step 2: Convert to fraction form
    521.31/719.41 = 285.25/x
  3. Step 3: Cross multiply
    521.31x = 719.41 × 285.25
  4. Step 4: Simplify right side
    521.31x = 205,208.25
  5. Step 5: Solve for x
    x = 205,208.25/521.31
  6. Step 6: Final answer
    x = 393.64

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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.