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Finding the Fourth Proportional to 699.94, 965.90 and 405.21

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Solution

The fourth proportional to 699.94, 965.90 and 405.21 is: 559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.94 : 965.90 = 405.21 : x
  2. Step 2: Convert to fraction form
    699.94/965.90 = 405.21/x
  3. Step 3: Cross multiply
    699.94x = 965.90 × 405.21
  4. Step 4: Simplify right side
    699.94x = 391,393.74
  5. Step 5: Solve for x
    x = 391,393.74/699.94
  6. Step 6: Final answer
    x = 559.18

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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.