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Finding the Fourth Proportional to 655.89, 983.52 and 382.06

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Solution

The fourth proportional to 655.89, 983.52 and 382.06 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.89 : 983.52 = 382.06 : x
  2. Step 2: Convert to fraction form
    655.89/983.52 = 382.06/x
  3. Step 3: Cross multiply
    655.89x = 983.52 × 382.06
  4. Step 4: Simplify right side
    655.89x = 375,763.65
  5. Step 5: Solve for x
    x = 375,763.65/655.89
  6. Step 6: Final answer
    x = 572.91

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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.