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Finding the Fourth Proportional to 654.08, 981.43 and 410.78

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Solution

The fourth proportional to 654.08, 981.43 and 410.78 is: 616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 981.43 = 410.78 : x
  2. Step 2: Convert to fraction form
    654.08/981.43 = 410.78/x
  3. Step 3: Cross multiply
    654.08x = 981.43 × 410.78
  4. Step 4: Simplify right side
    654.08x = 403,144.85
  5. Step 5: Solve for x
    x = 403,144.85/654.08
  6. Step 6: Final answer
    x = 616.35

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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.