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Finding the Fourth Proportional to 655.16, 981.54 and 449.06

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Solution

The fourth proportional to 655.16, 981.54 and 449.06 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.16 : 981.54 = 449.06 : x
  2. Step 2: Convert to fraction form
    655.16/981.54 = 449.06/x
  3. Step 3: Cross multiply
    655.16x = 981.54 × 449.06
  4. Step 4: Simplify right side
    655.16x = 440,770.35
  5. Step 5: Solve for x
    x = 440,770.35/655.16
  6. Step 6: Final answer
    x = 672.77

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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.