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Finding the Fourth Proportional to 654.30, 981.33 and 264.28

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Solution

The fourth proportional to 654.30, 981.33 and 264.28 is: 396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.30 : 981.33 = 264.28 : x
  2. Step 2: Convert to fraction form
    654.30/981.33 = 264.28/x
  3. Step 3: Cross multiply
    654.30x = 981.33 × 264.28
  4. Step 4: Simplify right side
    654.30x = 259,345.89
  5. Step 5: Solve for x
    x = 259,345.89/654.30
  6. Step 6: Final answer
    x = 396.37

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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.