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Finding the Fourth Proportional to 699.89, 965.81 and 385.13

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Solution

The fourth proportional to 699.89, 965.81 and 385.13 is: 531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.89 : 965.81 = 385.13 : x
  2. Step 2: Convert to fraction form
    699.89/965.81 = 385.13/x
  3. Step 3: Cross multiply
    699.89x = 965.81 × 385.13
  4. Step 4: Simplify right side
    699.89x = 371,955.65
  5. Step 5: Solve for x
    x = 371,955.65/699.89
  6. Step 6: Final answer
    x = 531.45

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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.