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Finding the Fourth Proportional to 456.92, 685.50 and 365.24

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Solution

The fourth proportional to 456.92, 685.50 and 365.24 is: 547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 685.50 = 365.24 : x
  2. Step 2: Convert to fraction form
    456.92/685.50 = 365.24/x
  3. Step 3: Cross multiply
    456.92x = 685.50 × 365.24
  4. Step 4: Simplify right side
    456.92x = 250,372.02
  5. Step 5: Solve for x
    x = 250,372.02/456.92
  6. Step 6: Final answer
    x = 547.96

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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.