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Finding the Fourth Proportional to 686.84, 947.96 and 438.23

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Solution

The fourth proportional to 686.84, 947.96 and 438.23 is: 604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 947.96 = 438.23 : x
  2. Step 2: Convert to fraction form
    686.84/947.96 = 438.23/x
  3. Step 3: Cross multiply
    686.84x = 947.96 × 438.23
  4. Step 4: Simplify right side
    686.84x = 415,417.58
  5. Step 5: Solve for x
    x = 415,417.58/686.84
  6. Step 6: Final answer
    x = 604.83

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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.