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Finding the Fourth Proportional to 687.22, 948.30 and 376.72

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Solution

The fourth proportional to 687.22, 948.30 and 376.72 is: 519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.22 : 948.30 = 376.72 : x
  2. Step 2: Convert to fraction form
    687.22/948.30 = 376.72/x
  3. Step 3: Cross multiply
    687.22x = 948.30 × 376.72
  4. Step 4: Simplify right side
    687.22x = 357,243.58
  5. Step 5: Solve for x
    x = 357,243.58/687.22
  6. Step 6: Final answer
    x = 519.84

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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.