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Finding the Fourth Proportional to 654.36, 981.57 and 269.64

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Solution

The fourth proportional to 654.36, 981.57 and 269.64 is: 404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.36 : 981.57 = 269.64 : x
  2. Step 2: Convert to fraction form
    654.36/981.57 = 269.64/x
  3. Step 3: Cross multiply
    654.36x = 981.57 × 269.64
  4. Step 4: Simplify right side
    654.36x = 264,670.53
  5. Step 5: Solve for x
    x = 264,670.53/654.36
  6. Step 6: Final answer
    x = 404.47

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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.