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Finding the Fourth Proportional to 523.68, 786.96 and 493.86

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Solution

The fourth proportional to 523.68, 786.96 and 493.86 is: 742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 786.96 = 493.86 : x
  2. Step 2: Convert to fraction form
    523.68/786.96 = 493.86/x
  3. Step 3: Cross multiply
    523.68x = 786.96 × 493.86
  4. Step 4: Simplify right side
    523.68x = 388,648.07
  5. Step 5: Solve for x
    x = 388,648.07/523.68
  6. Step 6: Final answer
    x = 742.15

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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.