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Finding the Fourth Proportional to 686.85, 947.88 and 376.35

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Solution

The fourth proportional to 686.85, 947.88 and 376.35 is: 519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.85 : 947.88 = 376.35 : x
  2. Step 2: Convert to fraction form
    686.85/947.88 = 376.35/x
  3. Step 3: Cross multiply
    686.85x = 947.88 × 376.35
  4. Step 4: Simplify right side
    686.85x = 356,734.64
  5. Step 5: Solve for x
    x = 356,734.64/686.85
  6. Step 6: Final answer
    x = 519.38

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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.