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Finding the Fourth Proportional to 589.66, 884.49 and 316.06

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Solution

The fourth proportional to 589.66, 884.49 and 316.06 is: 474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.66 : 884.49 = 316.06 : x
  2. Step 2: Convert to fraction form
    589.66/884.49 = 316.06/x
  3. Step 3: Cross multiply
    589.66x = 884.49 × 316.06
  4. Step 4: Simplify right side
    589.66x = 279,551.91
  5. Step 5: Solve for x
    x = 279,551.91/589.66
  6. Step 6: Final answer
    x = 474.09

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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.