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Finding the Fourth Proportional to 523.89, 784.82 and 394.74

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Solution

The fourth proportional to 523.89, 784.82 and 394.74 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.89 : 784.82 = 394.74 : x
  2. Step 2: Convert to fraction form
    523.89/784.82 = 394.74/x
  3. Step 3: Cross multiply
    523.89x = 784.82 × 394.74
  4. Step 4: Simplify right side
    523.89x = 309,800.83
  5. Step 5: Solve for x
    x = 309,800.83/523.89
  6. Step 6: Final answer
    x = 591.35

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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.