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Finding the Fourth Proportional to 655.98, 983.64 and 382.14

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Solution

The fourth proportional to 655.98, 983.64 and 382.14 is: 573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.98 : 983.64 = 382.14 : x
  2. Step 2: Convert to fraction form
    655.98/983.64 = 382.14/x
  3. Step 3: Cross multiply
    655.98x = 983.64 × 382.14
  4. Step 4: Simplify right side
    655.98x = 375,888.19
  5. Step 5: Solve for x
    x = 375,888.19/655.98
  6. Step 6: Final answer
    x = 573.02

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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.