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Finding the Fourth Proportional to 655.02, 982.14 and 265.21

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Solution

The fourth proportional to 655.02, 982.14 and 265.21 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 982.14 = 265.21 : x
  2. Step 2: Convert to fraction form
    655.02/982.14 = 265.21/x
  3. Step 3: Cross multiply
    655.02x = 982.14 × 265.21
  4. Step 4: Simplify right side
    655.02x = 260,471.39
  5. Step 5: Solve for x
    x = 260,471.39/655.02
  6. Step 6: Final answer
    x = 397.65

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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.