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Finding the Fourth Proportional to 523.73, 786.29 and 304.56

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Solution

The fourth proportional to 523.73, 786.29 and 304.56 is: 457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.73 : 786.29 = 304.56 : x
  2. Step 2: Convert to fraction form
    523.73/786.29 = 304.56/x
  3. Step 3: Cross multiply
    523.73x = 786.29 × 304.56
  4. Step 4: Simplify right side
    523.73x = 239,470.96
  5. Step 5: Solve for x
    x = 239,470.96/523.73
  6. Step 6: Final answer
    x = 457.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.