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Finding the Fourth Proportional to 683.19, 942.75 and 421.20

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Solution

The fourth proportional to 683.19, 942.75 and 421.20 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.19 : 942.75 = 421.20 : x
  2. Step 2: Convert to fraction form
    683.19/942.75 = 421.20/x
  3. Step 3: Cross multiply
    683.19x = 942.75 × 421.20
  4. Step 4: Simplify right side
    683.19x = 397,086.30
  5. Step 5: Solve for x
    x = 397,086.30/683.19
  6. Step 6: Final answer
    x = 581.22

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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.