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Finding the Fourth Proportional to 655.64, 983.36 and 265.83

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Solution

The fourth proportional to 655.64, 983.36 and 265.83 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.64 : 983.36 = 265.83 : x
  2. Step 2: Convert to fraction form
    655.64/983.36 = 265.83/x
  3. Step 3: Cross multiply
    655.64x = 983.36 × 265.83
  4. Step 4: Simplify right side
    655.64x = 261,402.07
  5. Step 5: Solve for x
    x = 261,402.07/655.64
  6. Step 6: Final answer
    x = 398.70

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