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Finding the Fourth Proportional to 682.85, 942.10 and 384.05

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Solution

The fourth proportional to 682.85, 942.10 and 384.05 is: 529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.85 : 942.10 = 384.05 : x
  2. Step 2: Convert to fraction form
    682.85/942.10 = 384.05/x
  3. Step 3: Cross multiply
    682.85x = 942.10 × 384.05
  4. Step 4: Simplify right side
    682.85x = 361,814.90
  5. Step 5: Solve for x
    x = 361,814.90/682.85
  6. Step 6: Final answer
    x = 529.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.