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Finding the Fourth Proportional to 699.83, 965.89 and 405.19

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Solution

The fourth proportional to 699.83, 965.89 and 405.19 is: 559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.83 : 965.89 = 405.19 : x
  2. Step 2: Convert to fraction form
    699.83/965.89 = 405.19/x
  3. Step 3: Cross multiply
    699.83x = 965.89 × 405.19
  4. Step 4: Simplify right side
    699.83x = 391,368.97
  5. Step 5: Solve for x
    x = 391,368.97/699.83
  6. Step 6: Final answer
    x = 559.23

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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.