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Finding the Fourth Proportional to 523.96, 786.36 and 307.72

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Solution

The fourth proportional to 523.96, 786.36 and 307.72 is: 461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 786.36 = 307.72 : x
  2. Step 2: Convert to fraction form
    523.96/786.36 = 307.72/x
  3. Step 3: Cross multiply
    523.96x = 786.36 × 307.72
  4. Step 4: Simplify right side
    523.96x = 241,978.70
  5. Step 5: Solve for x
    x = 241,978.70/523.96
  6. Step 6: Final answer
    x = 461.83

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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.