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Finding the Fourth Proportional to 654.30, 981.84 and 289.08

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Solution

The fourth proportional to 654.30, 981.84 and 289.08 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.30 : 981.84 = 289.08 : x
  2. Step 2: Convert to fraction form
    654.30/981.84 = 289.08/x
  3. Step 3: Cross multiply
    654.30x = 981.84 × 289.08
  4. Step 4: Simplify right side
    654.30x = 283,830.31
  5. Step 5: Solve for x
    x = 283,830.31/654.30
  6. Step 6: Final answer
    x = 433.79

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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.