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Finding the Fourth Proportional to 699.68, 965.77 and 405.07

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Solution

The fourth proportional to 699.68, 965.77 and 405.07 is: 559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.68 : 965.77 = 405.07 : x
  2. Step 2: Convert to fraction form
    699.68/965.77 = 405.07/x
  3. Step 3: Cross multiply
    699.68x = 965.77 × 405.07
  4. Step 4: Simplify right side
    699.68x = 391,201.03
  5. Step 5: Solve for x
    x = 391,201.03/699.68
  6. Step 6: Final answer
    x = 559.11

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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.