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Finding the Fourth Proportional to 699.98, 966.15 and 405.21

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Solution

The fourth proportional to 699.98, 966.15 and 405.21 is: 559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.98 : 966.15 = 405.21 : x
  2. Step 2: Convert to fraction form
    699.98/966.15 = 405.21/x
  3. Step 3: Cross multiply
    699.98x = 966.15 × 405.21
  4. Step 4: Simplify right side
    699.98x = 391,493.64
  5. Step 5: Solve for x
    x = 391,493.64/699.98
  6. Step 6: Final answer
    x = 559.29

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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.