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Finding the Fourth Proportional to 523.28, 785.62 and 446.72

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Solution

The fourth proportional to 523.28, 785.62 and 446.72 is: 670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.28 : 785.62 = 446.72 : x
  2. Step 2: Convert to fraction form
    523.28/785.62 = 446.72/x
  3. Step 3: Cross multiply
    523.28x = 785.62 × 446.72
  4. Step 4: Simplify right side
    523.28x = 350,952.17
  5. Step 5: Solve for x
    x = 350,952.17/523.28
  6. Step 6: Final answer
    x = 670.68

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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.