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Finding the Fourth Proportional to 655.80, 983.75 and 193.59

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Solution

The fourth proportional to 655.80, 983.75 and 193.59 is: 290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.80 : 983.75 = 193.59 : x
  2. Step 2: Convert to fraction form
    655.80/983.75 = 193.59/x
  3. Step 3: Cross multiply
    655.80x = 983.75 × 193.59
  4. Step 4: Simplify right side
    655.80x = 190,443.19
  5. Step 5: Solve for x
    x = 190,443.19/655.80
  6. Step 6: Final answer
    x = 290.40

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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.