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Finding the Fourth Proportional to 521.27, 719.34 and 285.23

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Solution

The fourth proportional to 521.27, 719.34 and 285.23 is: 393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.27 : 719.34 = 285.23 : x
  2. Step 2: Convert to fraction form
    521.27/719.34 = 285.23/x
  3. Step 3: Cross multiply
    521.27x = 719.34 × 285.23
  4. Step 4: Simplify right side
    521.27x = 205,177.35
  5. Step 5: Solve for x
    x = 205,177.35/521.27
  6. Step 6: Final answer
    x = 393.61

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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.