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Finding the Fourth Proportional to 699.69, 965.67 and 405.06

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Solution

The fourth proportional to 699.69, 965.67 and 405.06 is: 559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.69 : 965.67 = 405.06 : x
  2. Step 2: Convert to fraction form
    699.69/965.67 = 405.06/x
  3. Step 3: Cross multiply
    699.69x = 965.67 × 405.06
  4. Step 4: Simplify right side
    699.69x = 391,154.29
  5. Step 5: Solve for x
    x = 391,154.29/699.69
  6. Step 6: Final answer
    x = 559.04

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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.