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Finding the Fourth Proportional to 456.35, 682.64 and 345.83

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Solution

The fourth proportional to 456.35, 682.64 and 345.83 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.35 : 682.64 = 345.83 : x
  2. Step 2: Convert to fraction form
    456.35/682.64 = 345.83/x
  3. Step 3: Cross multiply
    456.35x = 682.64 × 345.83
  4. Step 4: Simplify right side
    456.35x = 236,077.39
  5. Step 5: Solve for x
    x = 236,077.39/456.35
  6. Step 6: Final answer
    x = 517.32

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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.