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Finding the Fourth Proportional to 687.64, 948.98 and 422.17

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Solution

The fourth proportional to 687.64, 948.98 and 422.17 is: 582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.64 : 948.98 = 422.17 : x
  2. Step 2: Convert to fraction form
    687.64/948.98 = 422.17/x
  3. Step 3: Cross multiply
    687.64x = 948.98 × 422.17
  4. Step 4: Simplify right side
    687.64x = 400,630.89
  5. Step 5: Solve for x
    x = 400,630.89/687.64
  6. Step 6: Final answer
    x = 582.62

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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.