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Finding the Fourth Proportional to 655.02, 981.99 and 399.06

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Solution

The fourth proportional to 655.02, 981.99 and 399.06 is: 598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 981.99 = 399.06 : x
  2. Step 2: Convert to fraction form
    655.02/981.99 = 399.06/x
  3. Step 3: Cross multiply
    655.02x = 981.99 × 399.06
  4. Step 4: Simplify right side
    655.02x = 391,872.93
  5. Step 5: Solve for x
    x = 391,872.93/655.02
  6. Step 6: Final answer
    x = 598.26

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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.