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Finding the Fourth Proportional to 687.32, 948.32 and 421.90

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Solution

The fourth proportional to 687.32, 948.32 and 421.90 is: 582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.32 : 948.32 = 421.90 : x
  2. Step 2: Convert to fraction form
    687.32/948.32 = 421.90/x
  3. Step 3: Cross multiply
    687.32x = 948.32 × 421.90
  4. Step 4: Simplify right side
    687.32x = 400,096.21
  5. Step 5: Solve for x
    x = 400,096.21/687.32
  6. Step 6: Final answer
    x = 582.11

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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.