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Finding the Fourth Proportional to 682.80, 942.76 and 421.18

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Solution

The fourth proportional to 682.80, 942.76 and 421.18 is: 581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 942.76 = 421.18 : x
  2. Step 2: Convert to fraction form
    682.80/942.76 = 421.18/x
  3. Step 3: Cross multiply
    682.80x = 942.76 × 421.18
  4. Step 4: Simplify right side
    682.80x = 397,071.66
  5. Step 5: Solve for x
    x = 397,071.66/682.80
  6. Step 6: Final answer
    x = 581.53

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Half scale
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Double scale
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1.5x scale

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.