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Finding the Fourth Proportional to 523.48, 784.86 and 446.12

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Solution

The fourth proportional to 523.48, 784.86 and 446.12 is: 668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 784.86 = 446.12 : x
  2. Step 2: Convert to fraction form
    523.48/784.86 = 446.12/x
  3. Step 3: Cross multiply
    523.48x = 784.86 × 446.12
  4. Step 4: Simplify right side
    523.48x = 350,141.74
  5. Step 5: Solve for x
    x = 350,141.74/523.48
  6. Step 6: Final answer
    x = 668.87

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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.