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Finding the Fourth Proportional to 699.18, 964.90 and 396.36

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Solution

The fourth proportional to 699.18, 964.90 and 396.36 is: 546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.18 : 964.90 = 396.36 : x
  2. Step 2: Convert to fraction form
    699.18/964.90 = 396.36/x
  3. Step 3: Cross multiply
    699.18x = 964.90 × 396.36
  4. Step 4: Simplify right side
    699.18x = 382,446.34
  5. Step 5: Solve for x
    x = 382,446.34/699.18
  6. Step 6: Final answer
    x = 546.99

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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.