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Finding the Fourth Proportional to 655.84, 983.78 and 193.53

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Solution

The fourth proportional to 655.84, 983.78 and 193.53 is: 290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 983.78 = 193.53 : x
  2. Step 2: Convert to fraction form
    655.84/983.78 = 193.53/x
  3. Step 3: Cross multiply
    655.84x = 983.78 × 193.53
  4. Step 4: Simplify right side
    655.84x = 190,390.94
  5. Step 5: Solve for x
    x = 190,390.94/655.84
  6. Step 6: Final answer
    x = 290.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.