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Finding the Fourth Proportional to 456.96, 683.96 and 335.19

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Solution

The fourth proportional to 456.96, 683.96 and 335.19 is: 501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 683.96 = 335.19 : x
  2. Step 2: Convert to fraction form
    456.96/683.96 = 335.19/x
  3. Step 3: Cross multiply
    456.96x = 683.96 × 335.19
  4. Step 4: Simplify right side
    456.96x = 229,254.88
  5. Step 5: Solve for x
    x = 229,254.88/456.96
  6. Step 6: Final answer
    x = 501.70

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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.