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Finding the Fourth Proportional to 655.70, 983.28 and 392.42

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Solution

The fourth proportional to 655.70, 983.28 and 392.42 is: 588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.70 : 983.28 = 392.42 : x
  2. Step 2: Convert to fraction form
    655.70/983.28 = 392.42/x
  3. Step 3: Cross multiply
    655.70x = 983.28 × 392.42
  4. Step 4: Simplify right side
    655.70x = 385,858.74
  5. Step 5: Solve for x
    x = 385,858.74/655.70
  6. Step 6: Final answer
    x = 588.47

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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.