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Finding the Fourth Proportional to 699.90, 965.93 and 385.23

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Solution

The fourth proportional to 699.90, 965.93 and 385.23 is: 531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.90 : 965.93 = 385.23 : x
  2. Step 2: Convert to fraction form
    699.90/965.93 = 385.23/x
  3. Step 3: Cross multiply
    699.90x = 965.93 × 385.23
  4. Step 4: Simplify right side
    699.90x = 372,104.19
  5. Step 5: Solve for x
    x = 372,104.19/699.90
  6. Step 6: Final answer
    x = 531.65

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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.