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Finding the Fourth Proportional to 523.74, 786.17 and 394.11

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Solution

The fourth proportional to 523.74, 786.17 and 394.11 is: 591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 786.17 = 394.11 : x
  2. Step 2: Convert to fraction form
    523.74/786.17 = 394.11/x
  3. Step 3: Cross multiply
    523.74x = 786.17 × 394.11
  4. Step 4: Simplify right side
    523.74x = 309,837.46
  5. Step 5: Solve for x
    x = 309,837.46/523.74
  6. Step 6: Final answer
    x = 591.59

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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.