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Finding the Fourth Proportional to 687.86, 949.19 and 422.18

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Solution

The fourth proportional to 687.86, 949.19 and 422.18 is: 582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.86 : 949.19 = 422.18 : x
  2. Step 2: Convert to fraction form
    687.86/949.19 = 422.18/x
  3. Step 3: Cross multiply
    687.86x = 949.19 × 422.18
  4. Step 4: Simplify right side
    687.86x = 400,729.03
  5. Step 5: Solve for x
    x = 400,729.03/687.86
  6. Step 6: Final answer
    x = 582.57

Related Problems

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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.