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Finding the Fourth Proportional to 523.14, 785.36 and 446.59

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Solution

The fourth proportional to 523.14, 785.36 and 446.59 is: 670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 785.36 = 446.59 : x
  2. Step 2: Convert to fraction form
    523.14/785.36 = 446.59/x
  3. Step 3: Cross multiply
    523.14x = 785.36 × 446.59
  4. Step 4: Simplify right side
    523.14x = 350,733.92
  5. Step 5: Solve for x
    x = 350,733.92/523.14
  6. Step 6: Final answer
    x = 670.44

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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.