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Finding the Fourth Proportional to 682.93, 942.54 and 421.00

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Solution

The fourth proportional to 682.93, 942.54 and 421.00 is: 581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.93 : 942.54 = 421.00 : x
  2. Step 2: Convert to fraction form
    682.93/942.54 = 421.00/x
  3. Step 3: Cross multiply
    682.93x = 942.54 × 421.00
  4. Step 4: Simplify right side
    682.93x = 396,805.40
  5. Step 5: Solve for x
    x = 396,805.40/682.93
  6. Step 6: Final answer
    x = 581.03

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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.