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Finding the Fourth Proportional to 456.76, 683.22 and 360.76

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Solution

The fourth proportional to 456.76, 683.22 and 360.76 is: 539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.76 : 683.22 = 360.76 : x
  2. Step 2: Convert to fraction form
    456.76/683.22 = 360.76/x
  3. Step 3: Cross multiply
    456.76x = 683.22 × 360.76
  4. Step 4: Simplify right side
    456.76x = 246,478.45
  5. Step 5: Solve for x
    x = 246,478.45/456.76
  6. Step 6: Final answer
    x = 539.62

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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.