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Finding the Fourth Proportional to 682.85, 942.54 and 403.07

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Solution

The fourth proportional to 682.85, 942.54 and 403.07 is: 556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.85 : 942.54 = 403.07 : x
  2. Step 2: Convert to fraction form
    682.85/942.54 = 403.07/x
  3. Step 3: Cross multiply
    682.85x = 942.54 × 403.07
  4. Step 4: Simplify right side
    682.85x = 379,909.60
  5. Step 5: Solve for x
    x = 379,909.60/682.85
  6. Step 6: Final answer
    x = 556.36

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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.