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Finding the Fourth Proportional to 686.80, 948.07 and 438.13

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Solution

The fourth proportional to 686.80, 948.07 and 438.13 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.80 : 948.07 = 438.13 : x
  2. Step 2: Convert to fraction form
    686.80/948.07 = 438.13/x
  3. Step 3: Cross multiply
    686.80x = 948.07 × 438.13
  4. Step 4: Simplify right side
    686.80x = 415,377.91
  5. Step 5: Solve for x
    x = 415,377.91/686.80
  6. Step 6: Final answer
    x = 604.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.