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Finding the Fourth Proportional to 687.23, 948.56 and 421.76

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Solution

The fourth proportional to 687.23, 948.56 and 421.76 is: 582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.23 : 948.56 = 421.76 : x
  2. Step 2: Convert to fraction form
    687.23/948.56 = 421.76/x
  3. Step 3: Cross multiply
    687.23x = 948.56 × 421.76
  4. Step 4: Simplify right side
    687.23x = 400,062.56
  5. Step 5: Solve for x
    x = 400,062.56/687.23
  6. Step 6: Final answer
    x = 582.14

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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.