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Finding the Fourth Proportional to 699.99, 965.91 and 405.35

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Solution

The fourth proportional to 699.99, 965.91 and 405.35 is: 559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.99 : 965.91 = 405.35 : x
  2. Step 2: Convert to fraction form
    699.99/965.91 = 405.35/x
  3. Step 3: Cross multiply
    699.99x = 965.91 × 405.35
  4. Step 4: Simplify right side
    699.99x = 391,529.20
  5. Step 5: Solve for x
    x = 391,529.20/699.99
  6. Step 6: Final answer
    x = 559.34

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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.