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Finding the Fourth Proportional to 523.77, 784.92 and 407.68

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Solution

The fourth proportional to 523.77, 784.92 and 407.68 is: 610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.77 : 784.92 = 407.68 : x
  2. Step 2: Convert to fraction form
    523.77/784.92 = 407.68/x
  3. Step 3: Cross multiply
    523.77x = 784.92 × 407.68
  4. Step 4: Simplify right side
    523.77x = 319,996.73
  5. Step 5: Solve for x
    x = 319,996.73/523.77
  6. Step 6: Final answer
    x = 610.95

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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.