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Finding the Fourth Proportional to 654.81, 981.64 and 265.09

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Solution

The fourth proportional to 654.81, 981.64 and 265.09 is: 397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.81 : 981.64 = 265.09 : x
  2. Step 2: Convert to fraction form
    654.81/981.64 = 265.09/x
  3. Step 3: Cross multiply
    654.81x = 981.64 × 265.09
  4. Step 4: Simplify right side
    654.81x = 260,222.95
  5. Step 5: Solve for x
    x = 260,222.95/654.81
  6. Step 6: Final answer
    x = 397.40

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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.