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Finding the Fourth Proportional to 589.84, 884.77 and 205.09

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Solution

The fourth proportional to 589.84, 884.77 and 205.09 is: 307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.84 : 884.77 = 205.09 : x
  2. Step 2: Convert to fraction form
    589.84/884.77 = 205.09/x
  3. Step 3: Cross multiply
    589.84x = 884.77 × 205.09
  4. Step 4: Simplify right side
    589.84x = 181,457.48
  5. Step 5: Solve for x
    x = 181,457.48/589.84
  6. Step 6: Final answer
    x = 307.64

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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.